What is the next number in the sequence 1,5, 14,30, 55, 91

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What is the next number in the sequence 1,5, 14,30, 55, 91

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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140
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we have 1, 5, 14, 30, 55, 91 5-1=4=2^2 14-5=9=3^2 30-14=16=4^4 55-30=25=5^2 91-55=36=6^2 so the difference between two consecutive no. is the square of nth term 91 is the 6th term, 7th term is =91+7^2=91+49=140

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Other answers:

hey the 30-14 one doesnt fit in
30-14=16=4^2 30 is the 4th term, generated by 4^2+14
sorry I wrote 4^4, it's 4^2
so ash hw to approach such ques?
tanu, if you are given a sequence, first check , the difference between consecutive terms, Is it a sequence or is it similar? or check the difference between the differences itself, sometimes it may be a pattern. in some cases alternate terms have a pattern like 1, 2, 5, 6, 9, 10 here 1, 5, 9, generated by adding 4 to the term before the previous 2,6 ,10 are a series
how do u check for a a.p /g.p
AP will have a common term added to each term to generate the next term 1, 3, 5, 7 1+2=3 3+2=5 5+2=7 and so on GP will have a common term multiplied to generate the next term 2, 6, 18, 54, 162 6=2*3 18=6*3 54=18*3 162=54*3 and so on note that term added or multipled can either be a positive or negative no. . No restriction on this , can be a irrational no. also
thanks
glad to help:)

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