Question

solve this please!

AND THIS ALSO

-see
what kind of sequence is involved in the problem?

-plan
perform the indicated operation and simplify.

write the formula_______
substitute the values_____

lookback
How many trees will they plant during fifth year?______
How many trees will they have planted by the end of the tenth year?________

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Answer 1

Answer:

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Answer 2

It is an arithmetic series.

a) They would plant 300 trees in the fifth year.

b) They would have planted 3250 trees by the end of the tenth year.

Step-by-step explanation:

a) The number of trees every consecutive year is increased by 50.

Thus, the sequence becomes $100, 150, 200, 250, 300, ....$

Hence, the 300 trees are to be planted in the fifth year.

b)The number of trees by the end of the tenth year would be the sum of trees planted so far

$S_n = \frac{n}{2}[2a + (n-1)d]$

Here$, n = 10, a = 100,$ and $d = 50$

Thus

$S_{10} = \frac{10}{2}[2\times 100 + (10-1)50]$

$S_{10} = 5[200 + (9)50]$

$S_{10} = 5[200 + 450]$

$S_{10} = 5[650]$

$S_{10} = 3250$

Hence, at the end of the tenth year, 3250 trees would have been planted.