Question

Find the next two terms in the series 141,155,171,189,209​

Answer 1

Answer:

155 - 141 = 14

171 - 155 = 16

189 - 171 = 18

209 - 189 = 20

the common difference is increasing by 2

209 + 22 = 231

231 + 24 = 255

Step-by-step explanation:

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Answer 2

CONCEPT

Number Systems

GIVEN

A continuous  series of positive numbers.

141,155,171,189,209

FIND

We are asked to find next two numbers of the series.

SOLUTION

• To solve these questions we must find the relation between the numbers.

• Generally there exist a common relation in their sum or difference or product  between the numbers.

By observation,

• Difference between first and second number is 155-141=14.

• Difference between second and third number is 171-155=16.

Similarly,  the remaining differences are 18,20.

Hence the differences gets incremented by 2 for each new term.

• The next term should have difference of 22 with last term 209 hence , new term is 209+22 = 231.

• The next term should have difference of 24 with last term 231 hence , new term is 231+24 = 255.

The two terms are 231 and 256 for the above series .

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