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Looks like you just evaluated the summand for the given value of 
, whereas the question is asking you to find the value of the sum for the first terms.
Let
. Then 
is the 
th partial sum.
happens to be the first term in the series, which is why that box is marked correct:
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
Let
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
Answer:
y=0.3x
Step-by-step explanation:
Formula =
y α x
y = kx
Where k is the constant of proportionality.
When y = 1.5; x = 5;
We substitute these known values in the equation,
y = kx
1.5 = k5
Dividing both sides of the equation by 5 to find the value for k, we have
1.5/5= k0.3/5
Therefore,
K = 0.3
Having found the value of k,
We substitute this value into the relationship
y = kx
Therefore we have,
y = 0.3x.
The direct variation function is therefore,
y = 0.3x.
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