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Byju's Answer
Standard X
Mathematics
Common Difference
The first ter...
Question
The first term of an A.P. is 5, the common difference is 3 and the last term is 80; find the number of terms.
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Solution
Here, a = 5, d = 3, a
n
= 80
Let the number of terms be n.
Then, we have:
a
n
=
a
+
n
-
1
d
⇒
80
=
5
+
n
-
1
3
⇒
75
=
n
-
1
3
⇒
25
=
n
-
1
⇒
26
=
n
Thus, there are 26 terms in the given A.P.
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