Practice Sum Of First N Terms Of An Ap (5.4)

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6 sample questions

Question 1.
Calculate the sum of the first 5 terms of the AP: 2, 4, 6, 8, ...
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Use the formula for the sum of the first n terms.
Question 2.
What is the common difference in the AP 5, 10, 15, 20?
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Subtract the first term from the second term.
3Question 3.
What is the formula for the sum of the first n terms of an AP?
- S_n = (a + l)n/2
- S_n = n(a + l)
- S_n = n(a + d)
- S_n = a + (n - 1)d
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Recall the context we discussed for summation.
4Question 4.
True or False: The common difference in an AP can be zero.
- True
- False
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Think about the scenarios where terms don’t change.
Question 5.
A company has a start-up cost of $10,000 and a monthly increase in expenses of $1,500. Calculate the total expenses after the first 12 months using the AP sum formula.
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Break it into first and last terms, and compute stepwise.
Question 6.
If the sum of certain months' savings forms an AP starting at $5 with a difference of $2, what will be the total savings after 15 months?
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Identify the sequence from the saved amounts then calculate.

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