Question

First terms of two AP are 2 and 5 respectively and their common difference are 3 and-2 respectively If the difference of the seems of the first n terms of these two AP are195 .Find the number of terms

Answer 1

Answer:

n=58

Step-by-step explanation:

solution:-

step I

let first term of two AP be a1 and a2 respectively.

therefore

a1=2 and. a2=5

similarly

let,common difference of two AP be d1 and d2

step II

As per given

sum of n terms of first AP - sum of n terms of another AP=195

therefore by formulae

2a1+(n-1)d1- 2a2+(n-1)d2 =195

2*2+(n-1)*3-2*5+(n-1)*-2=195

4+3n-3-10+2+n=195

1+3n+n-8=195

-7+4n=195

4n=195+7

n=232/4

n=58