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In an AP, if d = –4, n = 7, an = 4, then a is ______. - Mathematics

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Question

In an AP, if d = –4, n = 7, an = 4, then a is ______.

Options

  • 6

  • 7

  • 20

  • 28

MCQ
Fill in the Blanks

Solution

In an AP, if d = –4, n = 7, an = 4, then a is 28.

Explanation:

We know that nth term of an AP is

an = a + (n – 1)d

Where,

a = first term

an is nth term

d is the common difference

According to the question,

4 = a + (7 – 1)(– 4)

4 = a – 24

a = 24 + 4 = 28

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Chapter 5: Arithematic Progressions - Exercise 5.1 [Page 45]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 5 Arithematic Progressions
Exercise 5.1 | Q 1 | Page 45
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