An arithmetic progression (A.P.) has a first term of 7 and a common difference of 5. What … — JAMB UTME

An arithmetic progression (A.P.) has a first term of $7$ and a common difference of $5$ . What is the $12^{\text{th}}$ term of the progression?

Answer: 62

The

12^{\text{th}}

term of the progression is

62

Using the formula for the

n^{\text{th}}

term of an arithmetic progression,

T_n = a + (n - 1)d

, with

a = 7

d = 5

, and

n = 12

, we calculate

T_{12} = 7 + (12 - 1) \times 5 = 7 + 55 = 62

Identify known parameters from the question

a = 7

d = 5

n = 12

These parameters are given in the problem statement.

Use the general formula for the

n^{\text{th}}

term of an arithmetic progression

T_n = a + (n - 1)d

This formula connects the first term, common difference, and term number to the value of the term.

Substitute values and evaluate

T_{12} = 7 + (12 - 1) \times 5 = 7 + 55 = 62

Performing basic arithmetic gives the final result.

Finding the

n^{\text{th}}

term of an Arithmetic Progression

Estimated Time:45s

Question