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3 years ago

write a recursive formula for the sequence 15,26,48,92,180, ... find the next term

Mathematics

1 answer:

klemol [59]3 years ago

4 0

Answer:

The nth term is Tn = 2[T(n- 1) -2]

The next term is 356

Step-by-step explanation:

Given

Terms: 15,26,48,92,180

Solving (a) : The recursive n term

We have:

T1 = 15

T2 = 26 = 13 * 2 = (15 - 2) * 2

T3 = 48 = 24 * 2 = (26 - 2) * 2

T4 = 92 = 46 * 2 = (48 - 2) * 2

T5 = 180 = 90 * 2 = (92 - 2) * 2

So, the nth term can be represented as:

Tn = [T(n-1) - 2] * 2

Tn = 2[T(n-1) - 2]

The next term is the 6th term.

So, substitute 6 for n in the above formula.

T6 = 2 * [T(6 - 1) - 2]

T6 = 2 * [T5 - 2]

Substitute 180 for T5

T6 = 2 * (180 - 2)

T6 = 2 * 178

T6 = 356

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Solve the two step equations

disa [49]

Hello!

1) -3x - 4 = 23

-3x = 23 + 4

-3x = 27

x = 27 : (-3)

x = -9

2) x/2 - 12 = -4

x - 24 = -8

x = -8 + 24

x = 16

3) 6a + (-1) = 10

6a - 1 = 10

6a = 10 + 1

6a = 11

a = 11 : 6

a = 11/6

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x + 2 = -12

x = -12 - 2

x = -14

5) 7a + 12 = 10

7a = 10 - 12

7a = -2

a = -2 : 7

a = -2/7

6) -4(a + 2) = 12

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a = -3 - 2

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Good luck! :)

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3 years ago

What is the mean, median, mode, and range of this data set, 2,3,2,4,3,3,3,4,2,3,4,2,4,4,9,3,4,4

slava [35]

Answer:

Mean: 3.5

Median: 3

Mode: 4

Range: 7

Step-by-step explanation:

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3 years ago

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jonny [76]

Answer:

the number of irrational numbers between 2 and 3 are √5, √6, √7, and √8,

Step-by-step explanation:

these are not perfect squares and cannot be simplified further.

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3 years ago

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Varvara68 [4.7K]

We know that William paid his deductible that amount is the $150.

Then William paid 20 percent of everything else. That's 20 percent of (750 minus 150), it is equal to 150.

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3 years ago

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Please select the best answer from the choices provided

FromTheMoon [43]

Answer:

$\sqrt{122}$

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

$|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}$

So the correct option is (c).

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3 years ago

￼￼write a recursive formula for the sequence 15,26,48,92,180, ... find the next term

write a recursive formula for the sequence 15,26,48,92,180, ... find the next term