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For an given A.P., t7 = 4, d = −4, then a = ______. - Algebra

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Question

For an given A.P., t7 = 4, d = −4, then a = ______.

Options

  • 6

  • 7

  • 20

  • 28

MCQ
Fill in the Blanks

Solution

For an given A.P., t7 = 4, d = −4, then a = 28.

Explanation:

Given,

t7 = 4

d = −4

Now,

tn = a + (n − 1)d

t7 = a + (7 − 1)d

⇒ 4 = a + 6(−4)

⇒ 4 = a − 24

⇒ a = 4 + 24

⇒ a = 28

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Chapter 3: Arithmetic Progression - Problem Set 3 [Page 78]

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Balbharati Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
Chapter 3 Arithmetic Progression
Problem Set 3 | Q 1.04 | Page 78

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