Question

Write the equation to find the nth term in the arithmetic sequence. First term:-10 and common difference:2

Step by step

Answer 1

2n - 12

Explanation:

The nth term of an arithmetic progression is expressed as;

Tn = a+(n-1)d

a is the first term = -10

n is the number of terms

d is the common difference = 2

Substitute

Tn = -10 + (n-1)2

Tn = -10 + 2n-2

Tn = 2n -10-2

Tn = 2n - 12

Hence the nth term of the sequence is 2n - 12