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 $7^{\text{th}}$ term of the progression?

-13

Using the

n^{\text{th}}

term formula

T_n = a + (n - 1)d

with

a = 5

d = -3

, and

n = 7

, we get

T_7 = 5 + (6)(-3) = -13

Identify the given parameters of the A.P.

First term

a = 5

, common difference

d = -3

, and position

n = 7

These parameters are directly specified in the problem.

Apply the

n^{\text{th}}

term formula

T_n = a + (n - 1)d

T_7 = 5 + (7 - 1)(-3) = 5 + 6(-3)

The common difference is added

(n-1)

times to the first term.

Perform the multiplication and addition.

T_7 = 5 - 18 = -13

Simplifying the arithmetic gives the exact value of the

7^{\text{th}}

term.

Calculating the

n^{\text{th}}

term of an Arithmetic Progression

Question