In an arithmetic sequence nᵗʰ term is 4n+2 the sum of first n terms of this sequence is …………
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an = 4n +2
a1 = 4+2 =6 ( putting n =1)
a2 = 8+2 = 10 ( putting n =2)
d = a2- a1
d = 10 -6 = 4
Now sum of terms is :
sn = n/2 {2a +(n -1 ) ×d)
PUTTING THE VALUES
sn = n/2 { 12 +( n-1) × 4}
sn = n/2 { 12 + 4n -4}
sn = n/2 { 8 +4n}
ANSWER : sn = 4n + n ^2
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