Sum of the First 10 Terms of a Generalized Fibonacci Sequence

​
new question
What is the sum
of the sequence?
choose answer:
​
1
3
2
5
3
8
4
13
5
21
6
34
7
55
8
89
9
144
10
233
This Demonstration asks you to calculate the sum of the first 10 terms of a generalized Fibonacci sequence:
a
,
b
,
a+b
,
a+2b
,
2a+3b
, ….

Details

The trick is that the sum is 11 times the seventh term of the sequence. It is easy to multiply by 11.

References

[1] Sum of Fibonacci Numbers Trick[Video]. (Jul 31, 2019) www.youtube.com/watch?v=CWhcUea5GNc.

External Links

Fibonacci Number (Wolfram MathWorld)

Permanent Citation

Izidor Hafner
​
​"Sum of the First 10 Terms of a Generalized Fibonacci Sequence"​
​http://demonstrations.wolfram.com/SumOfTheFirst10TermsOfAGeneralizedFibonacciSequence/​
​Wolfram Demonstrations Project​
​Published: August 7, 2019