What is the 10^{\text{th}} term of the arithmetic progression 3, 7, 11, 15, \dots? — JAMB UTME

What is the $10^{\text{th}}$ term of the arithmetic progression $3, 7, 11, 15, \dots$ ?

Answer: 39

The

10^{\text{th}}

term of the arithmetic progression is

39

By applying the

n^{\text{th}}

term formula for an arithmetic progression

T_n = a + (n - 1)d

with first term

a = 3

, common difference

d = 4

, and term index

n = 10

, the calculation yields

T_{10} = 3 + (10 - 1) \times 4 = 3 + 36 = 39

Identify the key parameters of the arithmetic progression from the given sequence.

First term

a = 3

, common difference

d = 7 - 3 = 4

, and number of terms

n = 10

These parameters are required to use the

n^{\text{th}}

term formula of an A.P.

Substitute the values into the formula

T_n = a + (n - 1)d

T_{10} = 3 + (10 - 1) \times 4

The formula relates the

n^{\text{th}}

term to the first term, common difference, and term position.

Evaluate the mathematical expression.

T_{10} = 3 + 9 \times 4 = 3 + 36 = 39

Perform multiplication before addition according to standard order of operations.

nth term of an Arithmetic Progression

Question