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# The nth term (tn) of a certain sequence is defined as tn = t

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Senior Manager
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The nth term (tn) of a certain sequence is defined as tn = t [#permalink]  04 Dec 2017, 05:24
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The $$n_{th}$$ term ($$t_n$$) of a certain sequence is defined as $$t_{n}$$ = $$t_{n-1}$$ $$+4$$. If $$t_{1}$$ =−7 then $$t_{71} =$$

A. 273
B. 277
C. 281
D. 283
E. 287

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[Reveal] Spoiler: OA
Director
Joined: 20 Apr 2016
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Re: The nth term (tn) of a certain sequence is defined as tn = t [#permalink]  04 Dec 2017, 12:54
Bunuel wrote:
The $$n_{th}$$ term ($$t_n$$) of a certain sequence is defined as $$t_{n}$$ = $$t_{n-1}$$ $$+24$$. If $$t_{1}$$ =−7 then $$t_{71} =$$

A. 273
B. 277
C. 281
D. 283
E. 287

Kudos for correct solution.

Bunuel - is this the ques? as I have edited. Could you plz check the ques.
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Intern
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Re: The nth term (tn) of a certain sequence is defined as tn = t [#permalink]  05 Dec 2017, 07:41
3
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I think it should be $$t_n\,=\,t_{n-1}\,+\,4$$.

In that case, it's given that $$t_1 = -7$$. The $$0th$$ term would be $$-11$$, and the sequence could be expressed as..

$$t_n = -11 + 4n$$

The 71th term is...

$$t_{71} = -11 + 4(71)$$

$$t_{71} = 273$$.

Director
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Re: The nth term (tn) of a certain sequence is defined as tn = t [#permalink]  06 Dec 2017, 03:08
1
KUDOS
jezzsk8 wrote:
I think it should be $$t_n\,=\,t_{n-1}\,+\,4$$.

In that case, it's given that $$t_1 = -7$$. The $$0th$$ term would be $$-11$$, and the sequence could be expressed as..

$$t_n = -11 + 4n$$

The 71th term is...

$$t_{71} = -11 + 4(71)$$

$$t_{71} = 273$$.

Yes right. thanks for that, i have edited the main question.
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Re: The nth term (tn) of a certain sequence is defined as tn = t [#permalink]  06 Dec 2017, 03:13
Expert's post
Thank you guys. Kudos

Regards
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Re: The nth term (tn) of a certain sequence is defined as tn = t   [#permalink] 06 Dec 2017, 03:13
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