Answer:
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
