Question

What will be the 10th term in series 3,0,-3,-6 ?

Answer 1

Answer:

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The 10th term in the series will be -24.

Step-by-step explanation:

The series goes on like this:

3,0,-3,-6,-9,-12,-15,-18,-21,-24,-27, and so on.

Answer 2

Given:

The series 3,0,-3,-6?

To Find:

The 10th term of the given series.

Solution:

We are required to find the value of the 10th term of the given series.

3,0,-3,-6,.......

First term,a = 3, a+d = 0, a+2d = -3

The common difference, d = a+d-a

d = 0-3

d = -3

The given series is in Arithmetic progression with the first term(a) 3 and common difference -3.

The nth term of Arithmetic progression is given as

aₙ = a + (n – 1) × d -----(1)

n = 10, a = 3, d = -3

Substitute the values of a, n, and d in the equation(1)

a₁₀ = 3+[(10-1)×-3]

a₁₀ = 3+(-27)

a₁₀ = -24

Therefore, The 10th term of the given series is -24.

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