The sum of series is 3.5 7 10.5 14----to 17 terms is?

Question

Answer

Sum of Series

The given series is an arithmetic series with first term (a) as 3.5 and common difference (d) as 3.5.

Formula for the sum of n terms of an arithmetic series:

S_n = n/2 [2a + (n-1)d]

Calculation:

Here, n = 17, a = 3.5 and d = 3.5

Substituting these values in the formula, we get:

S₁₇ = 17/2 [2(3.5) + (17-1)(3.5)]

Simplifying the equation, we get:

S₁₇ = 17/2 [7 + 16(3.5)]

S₁₇ = 17/2 [7 + 56]

S₁₇ = 17/2 x 63

S₁₇ = 535.5

Answer:

The sum of the given series up to 17 terms is 535.5.

Answer

598.5 is the correct answer