The 5th term of an arithmetic sequence is 20 and the 8th term is 32
a)What is the common difference of this sequence?
b)Find the 10 th term?
c)Check whether 225 is a term of this Sequence or not? Write the reason.
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Answer:
Correct option is
A
7n−12
We can observe the difference between two consecutives terms is equal:
2−(−5)=9−2=16−9=23−16=7
Hence, the sequence is an arithmetic progression with first term a=−5 and common difference d=7.
General term of an AP is t
n
=a+(n−1)d
t
n
=−5+(n−1)×7
t
n
=7n−12
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