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Answer:
The sum of the first six terms is 38.39
Step-by-step explanation:
This is a geometric sequence since the common difference between each term is 
Thus, 
To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.
To find the fifth term:
The general form of geometric sequence is 
To find the fifth term, substitute
in 

To find the sixth term, substitute
in 

To find the sum of the first six terms:
The general formula to find Sn for
is 

Thus, the sum of first six terms is 38.39
Answer:
£84
Step-by-step explanation:
The given ratios are ...
A : N = 2 : 1
N : J = 3 : 1
Putting these together, we have ...
A : N : J = 6 : 3 : 1
There are a total of 6+3+1 = 10 ratio units, so each is worth £140/10 = £14.
Angad's share is 6×£14 = £84.
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<em>Check</em>
Nick gets £42, and June gets £14. Together, they share £84 +42 +14 = £140.
Answer:
315 miles
Step-by-step explanation:
450 (total miles) x (since they said "of", you multiple) 70% (amount completed) gives you 315 miles.