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PATTERNS, FUR1 2015 VCAA 4 MC

The amount added to a new savings account each month follows a geometric sequence.

In the first month, $64 was added to the account.

In the second month, $80 was added to the account.

In the third month, $100 was added to the account.

Assuming this sequence continues, the total amount that will have been added to this savings account after five months is closest to

A.   `$155`

B.   `$195`

C.   `$370`

D.   `$400`

E.   `$525`

Show Answers Only

`E`

Show Worked Solution
`text(GP where)\ \ \ a` `= 64, and`
 `r` `= t_2/t_1 = 80/64=1.25`
`S_n` `= (a(r^n – 1))/(r – 1)`
`:. S_5`  `= (64(1.25^5 – 1))/(0.25)`
  `= 525.25`

`=> E`

Filed Under: APs and GPs - MC Tagged With: Band 4

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