5,15,35,65 solve the rule and the next term

105

Step-by-step explanation:

Given the sequence of numbers

5,15,35,65

First lets get the common difference

d1 = 15-5 = 10

d2 = 35 - 15 = 20

d3 = 65-35 = 30

We can see that the differences form an arithmetic sequence

10, 20, 30..

Let's get the next term fist

Tn = a + (n-1)d

T4 = 10+(4-1)(10)

T4 = 10 + 3(10)

T4 = 10+30

T4 = 40

This means that the next term of the original sequence will be gotten by adding 40 to the preceding value

Next term = 65 + 40

Next term = 105

Hence the next term is 105