37. Find the sum of first 22 terms of an AP in which third term is 7 and seventh term is 2 more than thrice of its third term.

Question

37. Find the sum of first 22 terms of an AP in which third term is 7 and seventh term is 2 more than thrice of its third term.​

Valentina · Answer

Ques    tion   :  -     Find the sum of first 22 terms of an AP in which third term is 7 and seventh term is 2 more than thrice of its third term.      Answer   :  -       Given    :     a3 = 7  a7 = 3a3 + 2       T    o         find    :    -     Sum of first 22 sums.   ________________   a + 2d = 7  a + 6d = 3 (a+2d) + 2  Here a is -1  a = -1 , d = 4   ------------------------    ➦ Sn = n/2 [2a + ( n-1 ) d]  ➦ Sn = 22/2 [ 2(-1) + (22-1) x 4]  ➦ Sn = 11 [ -2 + 44 ]  ➦ Sn = 242     S  o     s  u  m     o  f     f  i  r  s  t     2  2     t  e  r  m  s     i  s     2  4  2  .

Gianna

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[tex] ({y}^2 – 3 {y}^{2} ) – 5( {y}^{2} – {3}y) – 50[/tex]

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