Question #316372

The first term,seventh term and nth term of an AP are 4, 28 and 32 respectively. Calculate the number of terms in the sequence.


1
Expert's answer
2022-03-23T16:53:19-0400

an=a1+(n1)d.a_n=a_1+(n-1)d.

a1=4.a_1=4.

a7=a1+(71)d28=4+6dd=4.a_7=a_1+(7-1)d\to 28=4+6d\to d=4.

an=4+4(n1)32=4+4(n1)n=8.a_n=4+4(n-1) \to 32=4+4(n-1) \to n=8.

There are 8 terms in the sequence.


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