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maksim [4K]
3 years ago
5

a certain arithmetic sequence has the following explicit formula for the nth term: an = 2 + (n - 1)(6) The same sequence has the

following recursive formula: an = an - 1 + ___ what number belongs in the blank space in the recursive formula? A. 6 B. 2 C. 12 D. 4
Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

A. 6

Step-by-step explanation:

The formula for nth arithmetic sequence =

aₙ = a₁+(n - 1) d

a₁ = First term

n = number of terms

d = common difference

In the question above, explicit formula for the nth term:

aₙ = 2 + (n - 1)(6)

This means, the first term a1 = 2

d = 6

The same sequence has the following recursive formula:

aₙ = aₙ₋₁+ ___

The formula for a recursive formula is

aₙ= aₙ₋₁+ d

Where the common difference from the nth term = 6

Therefore , the number that belongs in the blank space in the recursive formula is 6

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Two less than the product of 8 and a number is 8
Eva8 [605]

Answer:

x=1.25

Step-by-step explanation:

Let us replace the number with the variable "x". You will then get this equation:

8x-2=8

Move the -2 to 8 and you would get the equation:

8x=8+2

Simplify:

8x=10

Simplify:

x=10/8

You would then get the answer "x=1.25"

I hope this helps :)

3 0
3 years ago
which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
aleksklad [387]
Circumcenter for the Apex students :)
6 0
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A tin has asquare base whose sides measures 32 cm .the vertical sides are 50cm high.cake mixture is poured into the tin and leve
zepelin [54]

Answer:

(a) V = 51200 cubic cm

(b) V' = 38912 cubic cm

(c) V'' = V - V' = 12288 cubic cm

Step-by-step explanation:

side of the square base, s = 32 cm

height, h = 50 cm

height of cake mixture, h' = 38 cm

(a) The capacity of the tin is the volume.  

Capacity of tin, V =  s x s x h = 32 x 32 x 50 = 51200 cubic cm

(b) The volume of the cake mixture is

V' =  s x s x h'

V' = 32 x 32 x 38 = 38912 cubic cm

(c) Volume of unoccupied space is

V'' = V - V' = 51200 - 38912 = 12288 cubic cm

6 0
3 years ago
The dimensions of a right rectangular prism are 3/2 ft, 1/2 ft, and 2ft. What is the volume of this prism ?
r-ruslan [8.4K]

Answer:

v=1.5

Step-by-step explanation:

1.5*0.5*2=1.5

can i have brainliest

5 0
3 years ago
Plz help thank you thank you
natta225 [31]

Answer:

B

Only one that goes over once and up twice

6 0
3 years ago
Read 2 more answers
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