Question

It is given that -7, h, k, 20,... are the first 4 terms of an arithmetic progression.

Find the value of h and k.
A. h=11 k= 2
B. h=2 k=11
C. h=5 k=13
D. h=13 k = 5

Answer 1

the answer should be B

Explanation:

the first part is basically finding the difference between the terms, as we know that d=T2-T1

so by comparing the T2-T1 and T3-T2 we can find the difference with the two variables h and k

afterwards do the same with T4-T3 and T3-T2, comparing them and you will get another equation

now that you have two equations, you can do simultaneous equation to get the answers

hope i helped :D