Question

In an AP the first term is 2 , the last term is 29. Find the number terms of AP

whose sum is 155.

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Answer 1

Answer:

10 terms

Step-by-step explanation:

A=2

An=A+[n-1]d=29

2+[n-1]d=29

[n-1]d=27        [1]    

 

    Sn=155

Sn =n/2 [2A+[n-1]d=155

     substitute eq [1]

     =n/2[4+27] = 155

      n/2 [31] =155

 

  n= 155 *  2

            31

 therefore n=10

 10 terms are there in the AP

 [n-1]d=27

 9d=27

 d=3

so  AP is = 2,5,8,11,14,17,20,23,26,29

  if it is clear

  please mark it as the BRAINLIEST