The first five terms of a sequence are 5, 4, 3, 2, 1. What is the explicit formula for the sequence? A. an=n-6 B. an=5-n C. an=6-n D. an=n-5

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asked Jun 14, 2018 98.4k views

2 Answers

Himaan Singh · Answer 1 · 2018-06-19T13:57:09+0000

The explicit formula for the sequence is:

Option: C

C.
a_n=6-n

We are given first five terms of a sequence as:

5,4,3,2,1

i.e. if
a_n represent the nth term of a sequence then we have:

$a_1=5\\\\a_2=4\\\\a_3=3\\\\a_4=2\\\\a_5=1$

Hence, the rule that follows for the terms of the sequence is:

C.

Since when n=1 we have:

$a_1=6-1\\\\a_1=5$

when n=2 we have:

$a_2=6-2\\\\a_2=4$

when n=3 we have:

$a_3=6-3\\\\a_3=3$

when n=4 we have:

$a_4=6-4\\\\a_4=2$

when n=5 we have:

$a_5=6-5\\\\a_5=1$