Math, asked by jisingh481, 2 months ago

the first and the last terms of an AP are 17 and 350 respectively. if the common difference is 9,how many terms are there and what is their sum?​

Answers

Answered by ramudaysingh2020
4

Answer:

Total terms :

= 350 = a + ( n-1) d

= 350 = 17 + (n-1)9

= 350 = 17 + 9n - 9

= 350 = 8 + 9n

= 342 = 9n

= n = 38

So, there are 38 terms in the A.P.

Sum :

= 2a + (n-1)d

= 2(17) + 37×9

= 34 + 333

= 267

So, the sum is 267.

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