Math, asked by soumya8793, 1 year ago

In an A.P. the first term is 8, the nth term is 33, and sum of the first n terms is 123. Find n and d, the common difference.

Answers

Answered by amreshkumar68
1
the an A.P the is 8 , the nth term
Answered by Anonymous
0

Answer:

  • First Term ( a ) = 8
  • Last Term ( l ) = 33
  • Sum of n terms ( Sn ) = 123

Sum of Nth Terms of AP :

↠ Sn = n(a+l) /2

↠ 123 = n(41) /2

↠ 123 × 2 /41 = n

↠ n = 3 × 2

↠ n = 6

Nth Term of the AP :

↠ l = a + [n - 1]d

↠ 33 = 8 + 5d

↠ 33 - 8 = 5d

↠ 25 = 5d

↠ d = 5

There will be 6 terms with 5 Common Difference in the Arithmetic Progresion.

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