Question

Insert enough arithmetic means between 1 and 50 so that the sum of the resulting arithmeticn series will be 459. ?

Answer 1

Look at the sum formula for arithmetic sequences:
`459= n/2(50+1)`

`918=51n`

`n=18`

However this is including `1` and `50` as terms, so therefore there would need to be 16 terms between `1` and `50`