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Karo-lina-s [1.5K]

3 years ago

11

The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)

2 answers:

Harman [31]3 years ago

7 0

Answer:

106.68 cm

Step-by-step explanation:

1 ft = 12 inches and 1 in = 2.54 cm

Using conversion factors

3.5 ft * 12 inches/ 1 ft * 2.54 cm/ 1 inch = 106.68 cm

salantis [7]3 years ago

5 0

Answer:

106.68 centimeters.

Step-by-step explanation:

3.5 multiplied 12 is 42. 42 multiplied by 2.54 is equal to 106.68

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Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

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3 years ago