Math, asked by PRAGNAN19, 8 months ago

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

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Answers

Answered by amoolya34
6

Answer:

PLEASE MARK ME BRAINLIEST PLZZZZZ..........

Step-by-step explanation:

Hi ,

let a and d are first term and common

difference for an AP.

number of terms of AP = n

last term = nth term = l = an

a = 17 , d = 9 ,

l = 350

a + ( n - 1 ) d = 350

17 + ( n - 1 ) 9 = 350

( n - 1 ) 9 = 350 - 17

( n - 1 ) 9 = 333

n - 1 = 333 / 9

n - 1 = 37

n = 37 + 1

n = 38

Therefore ,

number of terms in given AP = n = 38

sum of n terms of AP = Sn

Sn = n /2 ( a + l )

here n= 38

S38 = 38 / 2 [ 17 + 350 ]

= 19 × 367

= 6973

I hope this helps you.

Answered by shivambalhara8a
1

MARK ME AS BRAINLEST

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