Question

What is the 32nd term of the arithmetic sequence where a1 = 4 and a6 = 34 ?

Answer 1

hello :
the nth term of an arithmetic sequence is :
An =Ap+(n-p)d ....a common difference is : d
in thie exercice : p=1 and n=6
A6 = A1 + (6-1)d
34 = 4 +5d
5d= 30
d= 6
A32 = A1+(32-1)(6) =4 + 31(6) = 190