Question

Determine the general term of an a. P. Whose 7th term is -1and 16th term
is 17

Answer 1

Let the terms of the A.P series be t1,t2,t3,t4,t5,t6.........

Given,t7=-1 and t16=17

Let the first term be 'a' and 'd' be the common difference.

Thus we have,

a+6d =-1 and

a+15d= 17

------------

d = 2

Putting the value of d=2 in a+6d=-1 we get ‘a’ as -13

Therefore the A.P series is-

-13,-11,-9,-7,-5,-3,-1,1,3,5,7,9,11,13,15,17,19.......

So,the general term of the series is-

tn= a + (n-1)d

=-13+ (n-1)2

= 2n - 15

Therefore the answer is 2n-15

Answer 2

hope u understood the answer