Q. if the common difference of an AP is 6 than a24 -a12 =. a)6. b) 12. c) 72 d) 36 ​

1 thought on “Q. if the common difference of an AP is 6 than a24 -a12 =. a)6. b) 12. c) 72 d) 36 ​”

1. Answer:

   c) 72

   Step-by-step explanation:

   Given,

   Common difference of an A.P(d) = 6

   To Find :–

   [tex]\sf a_{24}-a_{12}[/tex]

   Formula Required :–

   [tex]\sf a_n = a + (n – 1)d[/tex]

   Solution :–

   [tex]\sf a_{24}-a_{12}[/tex]

   [tex]\sf\implies [a + (24 – 1)d] – [a + (12 – 1)d][/tex]

   = a + 23d – [ a + 11d]

   = a + 23d – a – 11d

   = 12d

   [tex] = 12 \times 6[/tex]

   [ Common difference (d) = 6 ]

   = 72

   Option ‘c’ 72

   Know More :–

   1) In A.P there will be common difference

   2) In G.P there will be common ratio

   3) In H.P reciprocal of terms difference will be same.

   A.P → Arithmetic Progression

   G.P → Geometric Progression

   H.P → Harmonic Progression

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