Math, asked by vibhavpotential3546, 11 months ago

Find the sum of the first 20 terms of the series 3: 4, 6. 9. 13: 18: .........

Answers

Answered by gaurav517
0
Here is your answer friend it was a simple one
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Answered by syed2020ashaels
0

The given question is we have to find the sum of the first 20 terms of the series 3,4, 6,9, 13,18,.........

The first term of the series is a = 3.

The second term of the series is t2.

n is the total number of terms in the series.

The common difference between the first and the second term of the series is t2-t1.

Here, the t2 is 4.

The common difference d is 4-3=1.

we have to find the sum of the first 20 terms.

The formula to find the sum is

sn =  \frac{n}{2} (2a+ ( n - 1)d)

Here, the value of n is 20.

s20 =  \frac{20}{2} ((2(3) + (20 - 1)1))

performing the calculation using the concept of BODMAS.

Brackets, Orders, Division, Multiplication, Addition, Subtraction.

s20 = 10(6 + 19) \\ =  10 \times 25 \\  = 250

The final answer is 250.

Therefore, the sum of the first 20 terms of the series is 250.

#spj2

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