Find the sum of the following arithmetic progressions: 50, 46, 42, …

1.	Find the sum of the following arithmetic progressions: 50, 46, 42, …. To 10 terms
Answer» For the given AP the first term a is 50, and common difference d is a difference of second term and first term, which is 46 - 50 = - 4 To find : The sum of given AP The formula for sum of AP is given by s = \(\frac{n}{2}\)(2a + (n-1)d) Substituting the values in the above formula, s = \(\frac{10}{2}\)(100 + (9)(-4)) s = 5 × 64 s = 320

Find the sum of the following arithmetic progressions: 50, 46, 42, …. To 10 terms

Answer»

For the given AP the first term a is 50, and common difference d is a difference of second term and first term, which is 46 - 50 = - 4

To find : The sum of given AP

The formula for sum of AP is given by

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

Substituting the values in the above formula,

s = \(\frac{10}{2}\)(100 + (9)(-4))

s = 5 × 64

s = 320