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A sequence in which every term is equal to the sum of its preceding
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22 May 2024, 00:11
22 May 2024, 00:11
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21% (02:02) correct
78% (01:23) wrong based on 23 sessions
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A sequence in which every term is equal to the sum of its preceding term and constant is called an arithmetic sequence. In the following options, which are in arithmetic sequences if a, b, c, d, e are in arithmetic sequence?
A. \(2_a, 2_b, 2_c, 2_d, 2_e\)
B. \(2–10_a, 2–10_b, 2–10_c, 2–10_d, 2–10_e\)
C. \(a+2, b+3, c+4, d+5, e+6\)
D. \(a^2, b^2, c^2, d^2, e^2\)
A. \(2_a, 2_b, 2_c, 2_d, 2_e\)
B. \(2–10_a, 2–10_b, 2–10_c, 2–10_d, 2–10_e\)
C. \(a+2, b+3, c+4, d+5, e+6\)
D. \(a^2, b^2, c^2, d^2, e^2\)
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Re: A sequence in which every term is equal to the sum of its preceding
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23 Aug 2024, 06:50
23 Aug 2024, 06:50
someone explain this
Re: A sequence in which every term is equal to the sum of its preceding
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23 Aug 2024, 07:29
23 Aug 2024, 07:29
1
Expert Reply
a(n) = a(n-1) + d
Picking numbers 3,5,7 which is still an AP
Substitute and only A is an AP
For example C
will 5,8,11 which is not an AP
Instead A would be
6,10,14,18.........which are 4 apart in every term
I hope this hleps
Picking numbers 3,5,7 which is still an AP
Substitute and only A is an AP
For example C
will 5,8,11 which is not an AP
Instead A would be
6,10,14,18.........which are 4 apart in every term
I hope this hleps
