Question

If the k th term of the arithmetic progression 25,50,75,100,..... is 1000, then find the value of k is *​

Answer 1

Step-by-step explanation:

Let a be the first term and d be their common difference of the AP.

Then, nth term of the AP T

n

=a+(n−1)d

Here, in the given AP,. a=25;d=50−25=25

Given, T

k

=1000

=>25+(k−1)25=1000

=>25+25k−25=1000

=>25k=1000

=>k=40

Answer 2

Step-by-step explanation:

ak=a+(k-1)d