1 1/3 is simplified to 4/3
multiply 4/3 * 2/3 =8/9
f(1) = -4
f(2) = 3
f(3) = 10
f(4) = 17
f(5) = 24
Step-by-step explanation:
Step 1:
Let f(n) = 7n - 11
Here we can put n= 1,2,3,4,5
Step 2:
Let us do it step by step.
f(1) = 7×(1) - 11 = 7 - 11 = -4
f(2) = 7×(2) - 11 = 14 - 11 = 3
f(3) = 7×(3) - 11 = 21 - 11 = 10
f(4) = 7×(4) - 11 = 28 - 11 = 17
f(5) = 7×(5) - 11 = 35 - 11 = 24
The sequence is defined as
an = 3an - 1 + 7
This means that
a2 = 3(a(2 - 1) + 7
a2 = 3a1 + 7
From the information given ,
a1 = - 4
Thus,
a2 = 3 * - 4 + 7 = - 12 + 7
a2 = - 5
a3 = 3(a(3 - 1) + 7
a3 = 3a2 + 7
a3 = 3 * - 5 + 7 = - 15 + 7
a3 = - 8
a4 = 3(a(4 - 1) + 7
a4 = 3a3 + 7
a4 = 3 * - 8 + 7 = - 24 + 7
a4 = - 17
Thus, the first four terms of the sequence are
- 4, - 5, -
-4x is the slope and -12 is the y-intercept
The answer is: "7/10" .
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Note: £1 = 100 pence
70/100 = (70÷10)/(100÷10) = 7/10 .
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