Sarah and Gavyn win some money and share it in the ratio 5:1. Sarah gets £50. How much did they win in total?
2 answers:
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The sequence of all odd numbers between 1 and 11 (both inclusive) is
1,3,5,7,9,11
This is an arithmetic sequence with common difference of d=2
The first term is a₁=1.
The number of the term 11 (without counting) is found from
1 + (n-1)*2 = 11
1 + 2n - 2 = 11
2n -1 = 11
2n = 12
n = 6
The sum of the first n terms of an arithmetic sequence is
Therefore, the sum of the sequence is
S₆ = [6*(1 + 11)]/2
= (6*12)/2
= 36
Answer: 36
1,3,5,7,9,11
This is an arithmetic sequence with common difference of d=2
The first term is a₁=1.
The number of the term 11 (without counting) is found from
1 + (n-1)*2 = 11
1 + 2n - 2 = 11
2n -1 = 11
2n = 12
n = 6
The sum of the first n terms of an arithmetic sequence is
Therefore, the sum of the sequence is
S₆ = [6*(1 + 11)]/2
= (6*12)/2
= 36
Answer: 36
Answer and Step-by-step explanation
2, -4, 6, -8, 10, -12, 14, -16
These are the next three numbers in the pattern :-12, 14, -16