Question

Complete this sequence 4.15, 6.3, 8.45

Answer 1

+2.15.
Explanation: subtract 6.3 by 4.15 = 2.15 so you add 2.15

Answer 2

The sequence will be 4.15, 6.3, 8.45, 10.60, 12.75........

Explanation:

The given sequence is 4.15, 6.3, 8.45

Now we check whether the given sequence is arithmetic of geometric.

6.3 - 4.15 = 2.15

8.45 - 6.3 = 2.15

There is a common difference of 2.15 which confirms it's an arithmetic sequence.

Explicit formula for the arithmetic sequence is

`T_(n)=a+(n-1)d`

`T_(n)` = nth term

a = first term of the sequence = 4.15

n = number of term

d = common difference = 2.15

Now we can find other terms of the sequence

`T_(4)=4.15+(4-1)2.15`

`T_(4)=4.15+6.45`

`T_(4)=10.6`

`T_(5)=4.15+(5-1)2.15`

`T_(5)=12.75`

Therefore, the sequence will be 4.15, 6.3, 8.45, 10.60, 12.75............