I need some help with zee maths.
1 answer:
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Answer:
Sum of the sequence will be 648
Step-by-step explanation:
The given sequence is representing an arithmetic sequence.
Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6
3 - (-3) = 3 + 3 = 6
Since last term of the sequence is 81
Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence
where a = first term of the sequence
d = common difference
n = number of terms
81 = -9 + 6(n - 1)
81 + 9 = 6(n - 1)
n - 1 =
n = 15 + 1 = 16
Now we know sum of an arithmetic sequence is represented by
Now we have to find the sum of the given sequence
= 8[-9 + 90]
= 8×81
= 648
Therefore, sum of the terms of the given sequence will be 648.
We will see that 20 children can get a serving.
<h3>How to divide fractions?</h3>
To see how many children can get a serving we need to take the quotient between the total amount of grapes and the amount of grapes needed for each serving.
We know that there are 5 bunches of grapes, and each serving needs 1/4 bunches, then we need to solve:
Notice that we can write 5 as a fraction:
5 = 5/1
then:
Now, the two numbers in the middle (both ones) remain on the denominator, while the other 2 conform the numerator, then we have:
So 20 children can get a serving.
If you want to learn more about fractions, you can read: