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The 3rd term of an arithmetic progression is -9 and the 7th term is -29....

Mathematics
JAMB 2010

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

  • A. -44
  • B. -165
  • C. 165
  • D. 44
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Correct Answer: Option A
Explanation

3rd term : a + 2d = -9 .......(1)
7th term : a + 6d = -29 ......(2)
(2) - (1): 4d = -20
:. d = -20/4 = -5
From (1) : a + 2(-5) = -9
a - 10 = -9
:. a = -9 + 10 = 1
:. 10th term of A.P is a + 9d = 1 + 9 (-5)
= 1 - 45 = -44

There is an explanation video available below.


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Explanation Video

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WAEC offline past questions - with all answers and explanations in one app - Download for free
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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
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