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# Fourth term of an arithmetic progression is 8. What is the sum of the

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Senior Manager
Joined: 29 Nov 2018
Posts: 263
Concentration: Marketing, Strategy
Fourth term of an arithmetic progression is 8. What is the sum of the  [#permalink]

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19 Jul 2019, 06:13
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Question Stats:

67% (02:00) correct 33% (01:40) wrong based on 3 sessions

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Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression?

(a) 7
(b) 64
(c) 56
(d) Cannot be determined
Director
Joined: 20 Jul 2017
Posts: 633
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Fourth term of an arithmetic progression is 8. What is the sum of the  [#permalink]

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20 Jul 2019, 22:08
cfc198 wrote:
Fourth term of an arithmetic progression is 8. What is the sum of the first 7 terms of the arithmetic progression?

(a) 7
(b) 64
(c) 56
(d) Cannot be determined

Fourth term of an arithmetic progression is 8
--> a + 3d = 8 ....... (1)

sum of the first n terms of the arithmetic progression = n/2(first term + last term)
--> Sum of first 7 terms = 7/2{a + (a + 6d)}
= 7/2{2a + 6d}
= 7(a + 3d)
= 7*8
= 56

IMO Option C

Pls Hit Kudos if you like the solution
Re: Fourth term of an arithmetic progression is 8. What is the sum of the   [#permalink] 20 Jul 2019, 22:08
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# Fourth term of an arithmetic progression is 8. What is the sum of the

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