Question

Find the values of the last two two numbers in the sequence 25,50,75,100,125,?,?.

Answer 1

Answer: 150, 175

Step-by-step explanation: The numbers are increasing along the table of 25

Answer 2

Answer:

150 and 175

Step-by-step explanation:

The general approach is seeing that any two consecutive numbers differ by 25 . Hence In this way we can find last two numbers.

If you know any information regarding an arithmetic progression, then

The sequence is in the form of an Arithmetic Progression

which will be in the form of a, a+ d, a+2d, a+3d,... ,

a = first term

d = common difference

a1, a2, a3, a4, a5 is a sequence in arithmetic progression

then the common difference d is a2-a1 = a3-a2 = a4-a3

similarly,

Here the common difference d is 50-25 = 75 -50 =... = 25.

To Find nth term in the sequence

we use

a + (n-1) *d

From the question , we have to find 6th and 7th terms

Hence, a+ 5d and a+ 6d are the answers

a+5d = 25 + (5*25) = 150

a+ 6d = 25 + (6*25) = 175