Question

Which term of the AP 37,34,31,………is 10?​

Answer 1

Answer:

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Step-by-step explanation:

Let a= first term of A.P., d= common difference n

th

term, a

n

=a+(n−1)d;

To find n for a

n

=0

⇒a+(n−1)d=0

Here a=40,d=37−40=−3

⇒40−3(n−1)=0

⇒40=3(n−1)

⇒40=3n−3

⇒3n=43

⇒n=

3

43

not an integer ⇒0 not a term in A.P.

Answer 2

Step-by-step explanation:

Let a= first term of A.P., d= common difference n

th

term, a

n

=a+(n−1)d;

To find n for a

n

=0

⇒a+(n−1)d=0

Here a=40,d=37−40=−3

⇒40−3(n−1)=0

⇒40=3(n−1)

⇒40=3n−3

⇒3n=43

⇒n=

3

43

not an integer ⇒0 not a term in A.P.