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<h3>Answer:</h3>
The th term of an arithmetic sequence is explicitly defined as
where
is the first term of the sequence and
is the the common difference.
From the given first five terms of the sequence we can see that the first term is so
.
The common difference, , can be calculated by
so we'll find the common difference of the given sequence by letting
.
Now let's plug everything we know.
Answer:
£631.07
Step-by-step explanation:
Increasing a value by 3% is the same as taking 103% of it - you have the original price (100%) plus an additional 3% of it. Let's call the original price here p. We're told that after a 3% increase, the price goes up to £650. Put another way: 103% of p is £650. In equation form:
To solve for p, we can simply divide both sides of our equation by 1.03 to get
So our orignal amount, to the nearest penny, was £631.07