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Asked by Shubhangi Last Modified
Answer 
Ashish Sharma
Physicist
Chandresh K R
Tutor
Solution is: x = 40
Explanation:-
The LHS of the given equation is an AP,
Let the total no.of terms upto 'x' are N,
So now using the suitable formula for sum of AP;
(N/2)[ 2a + (N-1)d ] = S
Here, a = 1, d = 3, N = ?, S = 287
So, on putting all these values and solving, we get;
N = 14 or N = -82/6
Accepting, N = 14 (being a natural number)
Further to solve the value of 'x' , using the formula for finding Nth term of an AP;
T = a + (N-1)d
Here, T= x, N = 14,
Therefore, on solving, we get;
x = 40
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