Find the sum of the arithmetic sequence: 2,4,6,8,..., n = 20

Ayanna Jarvis

Ayanna Jarvis

Answered question

2022-10-12

Find the sum of the arithmetic sequence: 2,4,6,8,..., n = 20

Answer & Explanation

canhaulatlt

canhaulatlt

Beginner2022-10-13Added 17 answers

For the general Arithmetic sequence , with terms
a , a+d , a+2d , a+3d , .................... , a + (n-1)d
where a is the 1st term and d , the common difference
The sum to n terms = n 2 [ 2 a + ( n - 1 ) d ) ]
here a = 2 , d = 4-2 = 6-4 = 2 and n = 20
sum of 1st 20 terms = 20 2 [ ( 2 × 2 ) + ( 19 × 2 ) ] = 420

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