Question

An arithmetic sequence has a first term of 8 and a second term of 13. Determine the value of its tenth term. Show how you arrived at your answer.

a) 43
b) 48
c) 53
d) 58

Answer 1

The value of the tenth term in the arithmetic sequence is 53.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. To find the common difference, we can subtract the first term from the second term:

Common difference = 13 - 8 = 5

To find the tenth term, we can use the formula:

Tn = a + (n - 1)d

where Tn is the nth term, a is the first term, n is the term number, and d is the common difference. Plugging in the values, we have:

T10 = 8 + (10 - 1)5

T10 = 8 + 9 x 5

T10 = 8 + 45

T10 = 53