Question

Determine the 10th term of the sequence –17, -13,-9, ...

A. 19
B. -53
C. 36
D. 53

Answer 1

-53 (answer : B)

Explanation:

hello :

this the arithmetic sequence because :

(-9)-(-13)=(-13)-(-17)= 4 (common difference)

the first term is : A1 = -17

the nth term of an arithmetic sequence is :

An= A1 +(n-1)d ....a common difference is : d

the 10th term is : A10

A10= -17 +(10-1)(4) = -17-36 = -53 (answer : B)