13. Fibonacci numbers Take 10 numbers as shown below:
a, b, (a + b). (a + 2b).(2a + 3b),(3a +5b), (5a +8b),(8a +13b),(13a +2lb), and (21a +34b).
Sum of all these numbers = 11(5a +8b) = 11x 7th number.
Taking a = 8, b = 13; write 10 Fibonacci numbers and verify that sum of all these numbers
=11 x 7th number,
Hint. I, II, (I + II), (III + II), (IV + III), (V + IV), and so on.
Complete the magic square:
14
Answers
Answered by
11
Answer:
a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34b). Sum of all these numbers = 11(5a + 8b) = 11 × 7th .
Step-by-step explanation:
Answered by
14
Answer:
8,13,21,34,55,89,144,233,377,610
Step-by-step explanation:
take a=8,b=13
a=8
b=13
a+b= 8+13=21
a+2b=8+2×13=34
2a+3b=2×8+3×13=55
3a+5b=3×8+5×13=89
5a+8b=5×8+8×13=144
8a+13b=8×8+13×13=233
13a+21b=13×8+21×13=377
21a+34b=21×8+34×13=610
VERIFICATION:--
SUM OF ALL NUMBERS--
8+13+21+34+55+89+144+233+377+610=1584
11×7th number=11×144=1584
hence verified
I HOPE THAT IT WILL HELP YOU
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