Question
Which term of the AP : 3, 8, 13, 18, . . . , is 78?
___th
___th
Answer:
:
Here, First term, a=3
Common difference, d=8−3=5
an=78
Using formulaan=a+(n−1)d to findnth term of arithmetic progression,we get
an=3+(n−1)5{we want to find value ofnhere.}
⇒78=3+(n−1)5
⇒75=5n−5
⇒80=5n
⇒n=805=16
It means 16th term of the given AP is equal to 78.
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:
Here, First term, a=3
Common difference, d=8−3=5
an=78
Using formulaan=a+(n−1)d to findnth term of arithmetic progression,we get
an=3+(n−1)5{we want to find value ofnhere.}
⇒78=3+(n−1)5
⇒75=5n−5
⇒80=5n
⇒n=805=16
It means 16th term of the given AP is equal to 78.
Was this answer helpful ?
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