Practice Nth Term Of An Ap (5.3) - ARITHMETIC PROGRESSIONS

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6 sample questions

Question 1.
What is the 5th term of the AP: 10, 15, 20?
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Use the formula a_n = a + (n-1)d.
Question 2.
Find the 8th term in the sequence: 3, 6, 9.
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What is the common difference?
3Question 3.
What is the nth term of an AP?
- a + n*d
- a + d*(n-1)
- n - a + d
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Think back to the definition of an AP!
4Question 4.
True or False: The common difference in an AP can be negative.
- True
- False
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Consider how an AP can decrease.
Question 5.
If the 5th term of an AP is 30, and the common difference is 2, what is the 15th term?
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Use the nth term formula.
Question 6.
Can you prove that the sum of the first n terms of an AP can be derived using the formula (n/2)(first term + last term)?
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Rearranging S can help to identify patterns.

4 more questions in this section. Enroll free to practise them all.