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bekas [8.4K]
3 years ago
10

Sigma Notation and the nth Term

Mathematics
1 answer:
ladessa [460]3 years ago
6 0

Answer: F

Step-by-step explanation:

1+2+...+n = n*(n+1)/2 for all natural numbers n.

Left-hand-side = (5+1)+(5+2)+...+(5+10)=5*10+10*(10+1)/2=50+55=105

Right-hand-side = (4)+(4+1)+...+(4+9)=4*10+9*(9+1)/2=40+45=85

105≠85

The equation is false

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Bernice found that the slope of a trend line is –3 and a point on the trend line is (8, 10). She wanted to find the equation of
shusha [124]

Answer:b

Step-by-step explanation:

5 0
3 years ago
April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. High. The pathway of the arrow can be represented
soldi70 [24.7K]

Answer:

125feet

Step-by-step explanation:

Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.

The arrow reaches the maximum height at dh/dt = 0

dh/dt = -32t + 80

0= -32t+80

32t = 80

t = 80/32

t = 2.5secs

substitute t = 2.5 into the formula;

h = -16t^2 + 80t + 25

h = -16(2.5)^2 + 80(2.5) + 25

h = -16(6.25)+225

h = -100+225

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Hence the maximum height the arrow reaches is 125feet

4 0
3 years ago
Weight (g)
navik [9.2K]

Answer:  a) add n+1 to the previous term

               b) add the previous two terms

               d) subtract n+1 from the previous term

               e) multiply the previous term by 3

               f) subtract 2 from previous term then add 5 to the next term

<u>Step-by-step explanation:</u>

a) 1, 3, 6, 10

    ∨  ∨  ∨

  +2 +3 +4           The next term is 10 +5 = 15

b) 1, 2, 3, 5

    ∨  ∨  ∨

  =3 =5 =8        The next term is 5 + 8 = 13

d)  8, 7, 5, 2

      ∨  ∨  ∨

     -1  -2  -3             zThe next term is 2 - 4 = -2

e) 1, 3, 9, 27

     ∨  ∨  ∨

    ×3 ×3 ×3         The next term is 27 × 3 = 81

f) 49, 47, 52, 50, 55

      ∨    ∨    ∨    ∨

     -2   +5   -2   +5      The next term is 55 - 2 = 53

                                    The following term is 53 + 5 = 58

5 0
3 years ago
Write a mathematical expression for the word expression. Seven times a number plus one
abruzzese [7]

Answer:

7x +1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify?<br>6(2 - 7v) - 4(-6v + 7)​
iragen [17]

Answer:

-18v - 16

Step-by-step explanation:

6(2 - 7v) - 4(-6v + 7)​

= 6×2 - 6×7v - 4×(-6v) -4×7

= 12 - 42v + 24v - 28

= -18v - 16

4 0
3 years ago
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