What is the next number in the sequence 1,5, 14,30, 55, 91
Stacey Warren - Expert brainly.com
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1, 5, 14, 30, 55, 91
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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hey the 30-14 one doesnt fit in
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
and so on
GP will have a common term multiplied to generate the next term
2, 6, 18, 54, 162
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