Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
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Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)
If u plug it in, ur equation will look like:
240-500=7
It shouldn’t equal to 7 because the answer would be -260
Answer:
£280.0
Step-by-step explanation:
Given the following
Rate R= 4%
Time T = 1year
Amount = £291.20
Simple Interest I = ?
I = PRT/100
A = P+I
Since P = A-I
I = (A-I)RT/100
I = (291.2-I)RT/100
100I = (291.2-I)4
100I = 1,164.8-4I
104I = 1,164.8
I = 1,164.8/104
I = £11.2
Amount = P+I
Principal = A-I
P = 291.2-11.2
P = 280.0
Hence patrick invested £280.0