# The 11th term of the AP: -5,-52,0,52, .... is ______. - Mathematics

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The 11th term of the AP: -5, (-5)/2, 0, 5/2, .... is ______.

• –20

• 20

• –30

• 30

#### Solution

The 11th term of the AP: -5, (-5)/2, 0, 5/2, .... is 20.

Explanation:

First term, a = – 5

Common difference,

d = 5 - (-5/2) = 5/2

n = 11

We know that the nth term of an AP is

an = a + (n – 1)d

Where,

a = First term

an is nth term

d is the common difference

a11 = - 5 + (11 - 1)(5/2)

a11 = – 5 + 25 = 20

Concept: Arithmetic Progression
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#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 5 Arithematic Progressions
Exercise 5.1 | Q 4 | Page 45
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