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Yakvenalex [24]
3 years ago
7

What are the next two terms in the sequence 16, 13, 10,_,__?

Mathematics
1 answer:
BabaBlast [244]3 years ago
7 0
B 7,4 you go down by three
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1.2,3,7.5,18.75, which formula can be used to describe the sequence
elena-14-01-66 [18.8K]

Answer:

a_{n}=1.2 \times(2.5)^{n-1}

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

a_{n}=a_{1}\times(r)^{n-1}

Here:

a_{n} is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

a_{1} is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

a_{n}=1.2 \times(2.5)^{n-1}

This formula can be used to represent the given sequence.

3 0
4 years ago
The circumference of jj's basketball is 29.6 inches. Will it go through the basket that is 10 inches in diameter?
Olenka [21]

Step-by-step explanation:

circumference of jj's basketball = 29.6 inches

Circumference of basket = 3.14 * 10 = 31.4 inches

Because

circumference of jj's basketball < Circumference of basket

Therefore ball will go through the basket.

7 0
3 years ago
Read 2 more answers
Write an exponential function in the form y = ab" that goes through points (0,19)<br> and (6, 1216).
Elanso [62]

The exponential function is y=19*2^x

Step-by-step explanation:

The exponential function in the form of y=ab^{x}

First find the value of a and b if x=0 and y=19

y=ab^x\\\\19=ab^0\\\\\\19=a*1\\\\\\19=a

Find the value of b in y=ab^x

where x=6,y=1216  and a=19

1216=19b^6\\\\\\1216/19=b^6\\\\\\64=b^6\\\\\sqrt[6]{64} =b\\\\2=b

The function is y=19*2^x

Learn More

Exponential function :brainly.com/question/11925273

Keywords : exponential function

#LearnwithBrainly

4 0
3 years ago
What is the slope of the graph?
Ivahew [28]
The slope is 5/1 because b =5
6 0
3 years ago
Stuart planted a shrub that was 64 centimeters tall. He measured the shrub regularly and found that it grew 1.8 centimeters each
andreev551 [17]

Answer:

C. 7 weeks.

Step-by-step explanation:

Since the shrub was 64 cm tall at first, take away 64 from 76.6. Now we are left with 12.6. Let's divide 12.6 by 1.8 (that's how many cm it grows per week). When we do this, we are left with 7. This means it took 7 weeks for the shrub to reach 76.6 cm. I hope this helps!

5 0
3 years ago
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