Find the common difference d if the 7th term of a sequence is 33 and the 10th term is 21

gheadarce

gheadarce

Answered question

2022-11-27

Find the common difference d if the 7th term of a sequence is 33 and the 10th term is 21

Answer & Explanation

Lokasckf

Lokasckf

Beginner2022-11-28Added 7 answers

Given conditions are
a7=33
a10=21
we have to find 'd'
we have arithmetic sequence relation
an=a+(n−1)d
from given data we can write
a7=a+(7−1)d
33=a+6d........ (1)
and
a10=a+(10−1)d
21=a+9d........(2)
Subtract eq (2) from (1) we have now
−12=3d
Therefore
d=−4

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