nicekikah

2021-02-09

The general term of a sequence is given ${a}_{n}=n+5$ .

Determine whether the sequence is arithmetic, geometric, or neither.

If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

Determine whether the sequence is arithmetic, geometric, or neither.

If the sequence is arithmetic, find the common difference, if it is geometric, find the common ratio.

Szeteib

Skilled2021-02-10Added 102 answers

Step 1

Given:

for finding given sequence is arithmetic or geometric we find first three terms then check that given series is A.P. or G.P.

for finding first three term we put

Step 2

So,

here, first three terms are 6,7 and 8.

now checking for arithmetic progression

we know that in arithmetic progression

so, putting values and checking

here,

so, given sequence is arithmetic progression

now we can find common difference

we know that common difference of A.P. is given by :

so, common ratio

hence, common ratio of given series is 1.

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