Complete the recursive rule and the explicit rule for the arithmetic sequence. 84, 94, 104, 114, 124, The recursive rule is f(1) = , f(n) = f(n − 1) + for n ≥ 2. The explicit rule is f(n) = + (n − 1).

Given:

The arithmetic sequence is

84, 94, 104, 114, 124,....

To find:

The recursive rule and the explicit rule for the arithmetic sequence.

Solution:

We have, the arithmetic sequence

84, 94, 104, 114, 124,....

Here,

First term : a=84

Common difference : d=94-84=10

The recursive rule for an arithmetic sequence is

So, the recursive rule for the given arithmetic sequence is

where, f(1)=84 and n ≥ 2.

Explicit rule for the arithmetic sequence is

So, the explicit rule for the given arithmetic sequence is

where, n ≥ 1.

Therefore, the recursive and explicit rules are and respectively.

$450.00 for 6 weeks

or

$300

step-by-step explanation:

$200.00 for first week $50.00 x5 equals $250 plus $200 equals $450.00 for six weeks.

$200 for first week

$200 x 0.10 = $20

$20 x 5 = $100

$200 + $100 = $300

$30.32

step-by-step explanation:

65.00*.12=2.80

65.00-2.80=57.20

57.20*1.06=60.632

60.632/2=30.316