The sum of 5 numbers in an Ap is 30 & sum of their squares is 220. find the third tern-

*** Plzzzzz solve with all steps ***

Dear Student!

Let five numbers in A.P. be *a* – 2*d*, *a* – *d*, *a*, *a* + *d* and* a* + 2*d*.

Given (*a* – 2*d*) + (*a* – *d*) +* a* + (*a* + *d*) + (*a* + 2*d*) = 30

Putting *a* = 6, we get

When *a *= 6 and* d* = 2, we get

when *a *= 6 and* d* = –2, we get

Five numbers in A.P. are 2, 4, 6, 8 and 10.

Thus, the third number is 6.

Cheers!

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