Question

Rebecca had $100 in her savings accountin the first week. She adds $45 each weekfor 5 weeks. The savings account balancecan be shown by a sequence.

Answer 1

Rebecca had $100

and each week, she add $45

Let the number of weeks is x

So, after x weeks, she will have y

y = 100 + 45x

See the following figure:

After 5 weeks, y = 100 + 45 * 5 = 325

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After 1 week , y = 145

after 2 weeks , y = 190

after 3 weeks , y = 235

and so on

So, The savings account balance can be shown by a sequence.

The sequence will be: 145 , 190 , 235 , 280 , .......

The kind of this sequence will be arthimatic sequence , because there is a common defference between the terms of the sequence which = 45