Question

fill in the blanks according to the pattern 15, 10, 5,0,_,_,_​

Answer 1

Answer:

15,10,5,0,-5,-10,-15

Answer 2

Given,

Series : 15, 10, 5,0,_,_,_​

To Find,

5th, 6th, and 7th term of the pattern =?

Solution,

Difference between adjacent terms  = 10 - 15 = -5

Difference between adjacent terms  =  5 - 10 = -5

The difference is the same between adjacent terms, so this is an AP with

Common difference(d) =  - 5

5th term  = 4th term  + d =  0 + (-5)

5th term  = -5

Similarly,

6th term = 5th term +d = -5 + (-5)

6th term = -10

7th term = 6th term + d = -10 + (-5)

7th term = -15

Hence, the series  is 15, 10, 5,0,-5,-10,-15.​