Solveeit Logo

Question

Mathematics Question on Sequence and series

The 30th30^{th} term of the arithmetic progression 10,7,410, 7, 4……… is

A

-97

B

-87

C

-77

D

-67

Answer

-77

Explanation

Solution

We have, 10,7,4,10,7,4, \ldots \ldots
which is an A.PA.P.
a=10,d=3\therefore a=10, d=-3
a30=a+29d[an=a+(n1)d]\therefore a_{30}=a+29 \,d \,\,\,\left[\because a_{n}=a+(n-1) d\right]
=10+29(3)=10+29(-3)
=1087=10-87
=77=-77