Question

Which expression represents the series pictured?

Answer 1

Hello,
Answer A

`\sum _(i=0) ^4 {5^i}=5^0+5^1+5^2+5^3+5^4=1+5+25+125+625`

Answer 2

A.
`\sum_(i=0)^(4)5^(i)`

Explanation:

We are given the series,
`1+5+25+125+625`.

It is required to find expression representing the given series.

As, we have,

`1=5^(0)`

`5=5^(1)`

`25=5^(2)`

`125=5^(3)`

`625=5^(4)`

Thus, it can be seen that the power is ranging from 0 to 4.

Hence, the expression representing the series is,
`\sum_(i=0)^(4)5^(i)`

So, option A is correct.