Question

Which of the following is the correct expanded form for the series below?

O (7+3•1)+(7 +3-2)+(7 +3,3)+(7+34)
O (7+1)+(7+2)+(7 +3)+(7+4)
O (3-1)+(3-2) +(303)+(3-4)+7
O 3+32 +38 +34 +7

Answer 1

A.

Explanation:

four terms are needed. 1-4

so that eliminates bottom 2 choices

Answer 2

The correct option is A)
`(7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)`.

Explanation:

Consider the provided series.

`\sum_(n=1)^(4)(3n+7)`

Substitute the value of n = 1,2,3 and 4 respectively.

`(3\cdot 1+7)+(3\cdot 2+7)+(3\cdot 3+7)+(3\cdot 4+7)`

Which can be written as:

`(7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)`

Therefore, the correct option is A)
`(7+3\cdot 1)+(7+3\cdot 2)+(7+3\cdot 3)+(7+3\cdot 4)`.