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1,6,7,13,20,...... Sum upto 52 terms
Read Solution (Total 7)
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- 1,6,7,13,20,33,53...... is a Fibonacci series
we see 1+6+7=14=20-6
1+6+7+13=27=33-6
1+6+7+13+20=47=53-6
so we can say,sum upto nth term=(n+2)th term-6
hence sum upto 52th term=54th term-6
if 54th term is given then sum can be calculated easily
1,6,7,13,20,33,53,86,139,225,364,589,953,1542,2495
it is considerd that the terms of Fibonacci seris follows golden ratio(1.61803398875) approximately.
1542/953=1.618048 up to 14th and 2495/1542=1.618029 upto 15 term
so 54th term=1542*(1.618048)^40=352849113700
hence required sum=352849113700-6=352849113694(approax)
- 11 years agoHelpfull: Yes(9) No(2)
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- oh sory ques is
1,6,7,13,20......sum upto 52 terms - 11 years agoHelpfull: Yes(0) No(0)
- 8882 is the answer.
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- can u please brief out the answer any one......
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- THIS TYPE ??
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