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# The positive sequence s1, s2, s3, ....sn, … is defined by s_n = s_n-1

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Math Expert
Joined: 02 Sep 2009
Posts: 58398
The positive sequence s1, s2, s3, ....sn, … is defined by s_n = s_n-1  [#permalink]

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08 Feb 2019, 03:54
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Difficulty:

25% (medium)

Question Stats:

79% (01:27) correct 21% (01:31) wrong based on 24 sessions

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The positive sequence s1, s2, s3, ....sn, … is defined by $$s_n = s_{n-1} + 5$$ for n ≥ 2. If $$s_1 = 7$$, then the nth term in the sequence is

A. 5n – 5
B. 5n – 2
C. 5n
D. 5n + 2
E. 5n + 7

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Re: The positive sequence s1, s2, s3, ....sn, … is defined by s_n = s_n-1  [#permalink]

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08 Feb 2019, 04:30
Bunuel wrote:
The positive sequence s1, s2, s3, ....sn, … is defined by $$s_n = s_{n-1} + 5$$ for n ≥ 2. If $$s_1 = 7$$, then the nth term in the sequence is

A. 5n – 5
B. 5n – 2
C. 5n
D. 5n + 2
E. 5n + 7

$$s_n = s_{n-1} + 5$$ i.e. every next term = previous term + 5

$$s_1 = 7$$,

i.e. $$s_2 = 7+5(1) = 12$$,

i.e. $$s_3 = 7+5 +5 = 7+5(2)$$,

i.e. $$s_n = =7+5(n-1) = 5n + 2$$,

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Re: The positive sequence s1, s2, s3, ....sn, … is defined by s_n = s_n-1  [#permalink]

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08 Feb 2019, 06:28
Bunuel wrote:
The positive sequence s1, s2, s3, ....sn, … is defined by $$s_n = s_{n-1} + 5$$ for n ≥ 2. If $$s_1 = 7$$, then the nth term in the sequence is

A. 5n – 5
B. 5n – 2
C. 5n
D. 5n + 2
E. 5n + 7

s1=7
s2= 12
s3=17
for each value of n we are getting +5 value
so from given expression
5n+2 is valid
IMOD
Re: The positive sequence s1, s2, s3, ....sn, … is defined by s_n = s_n-1   [#permalink] 08 Feb 2019, 06:28
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