Question

considwr the Arithmetic Sequence 6,10,14 ...... wbat is the sum of first n consecutive terms of this sequence ​

Answer 1

answer is 2n ( 2 + n)

Step-by-step explanation:

a=6

d = 10-6 = 4

n = n

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

sn = n/2 { 2*6 + ( n - 1 ) 4 }

sn = n/2 { 12 + 4n - 4 }

sn = n/2 { 8 + 4n }

sn = 8n + 4n^2 / 2

sn = 4n + 2n^2

sn = 2n ( 2 + n)