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Question

Complete the series: 23,48,99,203,413,....


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Solution

Find the missing term of the series by observing the pattern of the series:

Given: 23,48,99,203,413,....

Notice the pattern:

23×2+2=48,48×2+3=99,99×2+5=203,203×2+7=413,

Write the general formula:

n+1thterm=nthterm×2+Primenumber

Notice that the numbers added 2,3,5,7 are prime numbers. thus the next number wil be 11.

Therefore the next term is;

2×413+11=837

Hence the complete series is 23,48,99,203,413,837.


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