Question

The first term of an Arithmetic sequence is 12 and common difference 4. Write the algebraic form of the sum of terms

Answer 1

1

Step-by-step explanation:

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Answer 2

Answer:

2n(n+5)

Step-by-step explanation:

By applying the Sum of n terms of AP formula,

Sn = n/2 ( 2a + (n-1) d ).

Where,

n = the number of terms.

a = the first term.

d = common difference.

By substituting the values,

Sn = n/2 ( 2(12) + (n-1) 4 )

n/2 ( 24 + 4n-4 )

n/2 ( 20 + 4n )

2n^2 + 10n

2n ( n + 5 )

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