Question

A sequence starts 2, 9, 16, 23, ...

a) Find an expression for the nth term of the sequence.
b) Use your expression to find the 8th term in the sequence.
c) Is 63 a term in the sequence? Explain your answer.

Answer 1

To find the nth term of the sequence, determine the pattern and use it to create an expression. The 8th term in the sequence is 58. The number 63 is not a term in the sequence

Step-by-step explanation:

To find an expression for the nth term of the sequence, we need to determine the pattern in the sequence. The sequence is increasing by 7 each time, so the difference between each term is 7. The first term is 2, so the expression for the nth term is n * 7 + 2.

To find the 8th term in the sequence, substitute n = 8 into the expression: 8 * 7 + 2 = 58.

63 is not a term in the sequence because it does not satisfy the expression n * 7 + 2 = 63. Solving the equation, we find that n = 8. Since 8 is the value for the 8th term, 63 is not a term in the sequence.

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