Question

Find the (a ) relationship and ( b ) next term for each sequence . They are neither arithmetic nor geometric . 1.3, 7, 13 ..

Disregard answers in box already

Answer 1

a. The sequence (1.3, 7, 13) exhibits a non-arithmetic, non-geometric pattern where each term is derived by adding 5.7 to the preceding term.

b. The next term is predicted to be 18.7, maintaining this incremental relationship.

a) Relationship:

The given sequence (1.3, 7, 13) does not follow an arithmetic or geometric pattern. However, it seems to be related by an incremental pattern where each term is obtained by adding 5.7 to the previous term. The relationship can be expressed as
`\(T_n = T_(n-1) + 5.7\).`

b) Next Term:

To find the next term, add 5.7 to the last term in the sequence:

13 + 5.7 = 18.7

Therefore, the next term in the sequence is 18.7.