An arithmetic progression (A.P.) has a first term of 5 and a common difference of 3. What … — JAMB UTME

An arithmetic progression (A.P.) has a first term of $5$ and a common difference of $3$ . What is the $8^{\text{th}}$ term of this progression?

The

8^{\text{th}}

term of the arithmetic progression is

26

The

8^{\text{th}}

term is calculated using the standard formula

T_n = a + (n - 1)d

. Substituting

a = 5

d = 3

, and

n = 8

gives

T_8 = 5 + 7(3) = 26

Identify the given parameters from the problem

First term

a = 5

, common difference

d = 3

, and term position

n = 8

These are the values required for substitution into the

n^{\text{th}}

term formula of an A.P.

Write down the general formula for the

n^{\text{th}}

term of an arithmetic progression

T_n = a + (n - 1)d

This formula defines any term in an arithmetic progression based on its position.

Substitute the values into the formula and simplify

T_8 = 5 + (8 - 1) \times 3 = 5 + 7 \times 3 = 5 + 21 = 26

Performing the multiplication before addition yields the value of the

8^{\text{th}}

term.

Arithmetic Progression (A.P.)

n^{\text{th}}

term formula

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