how many terms of an AP 9,17,25…. must be taken to give a sum of 636??​

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how many terms of an AP 9,17,25…. must be taken to give a sum of 636??​

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Ayla

2 thoughts on “how many terms of an AP 9,17,25…. must be taken to give a sum of 636??​”

  1. Answer:

    Your answer is here:-

    Step-by-step explanation:

    d = 17 -9 = 8 a= 9

    sum = n/2 [ 2a + ( n-1 )d ]

    636 = n/2 [ 2×9 + ( n-1 ) x 8 ]

    636×2 = n [ 18 + ( n-1 ) x 8 ]

    1272 = n [ 18 + 8n – 8 ]

    1272 = n [ 8n + 18 – 8 ]

    1272 = n [ 8n + 10 ]

    1272 = 8n² + 10n

    0 = 8n² + 10n – 1272

    8n² + 10n – 1272 = 0

    2( 4n² + 5n – 636 ) = 0

    4n² + 5n – 636 = 0x 2

    4n² + 5n – 636 = 0

    Using splitting the middle term

    4n² + 53n – 48n – 636

    n( 4n + 53 ) – 12( 4n + 53 )

    ( n-12 ) ( 4n + 53 )

    n= 12 or n = -53/ 4

    the term can only be 12 but not -53/4 .

    So the answer is 12th term.

    Hope it helps you.

    Reply
  2. Answer:

    a

    a 1

    a 1

    a 1 =9

    a 1 =9a

    a 1 =9a 2

    a 1 =9a 2

    a 1 =9a 2 =a

    a 1 =9a 2 =a 1

    a 1 =9a 2 =a 1

    a 1 =9a 2 =a 1 +d=17

    a 1 =9a 2 =a 1 +d=179+d=17

    a 1 =9a 2 =a 1 +d=179+d=17d=8

    a 1 =9a 2 =a 1 +d=179+d=17d=8

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n =

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d}

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d}

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636=

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=0

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25 Ignore the negative value.

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25 Ignore the negative value.n=12

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25 Ignore the negative value.n=12

    a 1 =9a 2 =a 1 +d=179+d=17d=8 We know that, the sum of n terms of an A.P. is,S n = 2n {2a+(n−1)d} According to the question,636= 2n {2(9)+(n−1)8}1272=18n+8n 2 −8n8n 2 +10n−1272=04n 2 +5n−636=0n=12,−13.25 Ignore the negative value.n=12 Hence, 12 terms of the A.P. is required to give a sum of 636.

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