The first 3 terms of a sequence are given. Round to the nearest thousandth (if necessary) 460,451,442 find the 49th term

The  49th term of the given sequence

t₄₉ = 28

Step-by-step explanation:

Step(i):-

Given sequence  460, 451,442,....

first term  a = 460

The difference of two terms of given sequence

 d = 451 -460 = -9

 d   = 442 -451 = -9

and so on

The given sequence is in arthematic progression(A.P)

Step(ii):-

The of the given sequence

n = 49 , a = 460 and d = -9

The  49th term

Final -

The  49th term of the given sequence

t₄₉ = 28

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6