Question

liam and bryan both create a pattern.Liams pattern starts by 7 and increases by 7 each time. Bryans pattern starts by 4 and increases by 4 each time. When the number in liams pattern is 49. what is the corresponding term in Bryans pattern

Answer 1

• 28

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The first sequence would be:

• 7, 14, 21, ...

nth term formula for this AP is:

• aₙ = 7(n - 1) + 7 = 7n

So, 49 is the term with number:

• 7n = 49
• n = 7

The second sequence would be:

• 4, 8, 12, ...

Its nth term formula is:

• bₙ = 4(n - 1) + 4 = 4n

The 7th term of this sequence is:

• 4*7 = 28