Question

find the sum of first five multiples of 2 by progression method

Answer 1

Answer:30

Step-by-step explanation:

Answer 2

The sum of first five multiples of 2 by progression method is 30.

Step-by-step explanation:

The first five multiples of 2:

2, 4, 6, 8 and 10 are in AP.

To find, the sum of first five multiples of 2 by progression method = ?

Here, first term(a) = 2, common difference(d) = 4 - 2 = 2,

number of term (n)  = 5 and last term(l) = 10

We know that,

The sum of nth term of an AP

$S_{n}=\dfrac{n}{2}(a+l)$

∴ $S_{5}=\dfrac{5}{2}(2+10)$

$=\dfrac{5}{2}\times 12$

= 5 × 6

= 30

Hence, the sum of first five multiples of 2 by progression method is 30.