Arithmetic Sequence Analysis

00:00 5 marks

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The first four terms of an arithmetic sequence are: 7, 11, 15, 19, …

Part a

1 minutes 1 marks

Question

Find the common difference.



Hint Hint

Hint

Subtract the first term from the second term.

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Complete Answer

4

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Part b

2 minutes 2 marks

Question

Find an expression for the nth term of this sequence.



Hint Hint

Hint

Use the formula Tn = a + (n-1)d with a = 7 and d = 4.

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Tn = 3 + 4n

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Part c

2 minutes 2 marks

Question

Find the sum of the first 20 terms.



Hint Hint

Hint

Use the sum formula Sₙ = n/2 (first term + last term). Determine the 20th term using the nth term formula.

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Complete Answer

900

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