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2 years ago

Find the value of the variable

Mathematics

1 answer:

abruzzese [7]2 years ago

3 0

Answer:

the answer is y=4

Step-by-step explanation:

the left drawing is a law , and is always true . and on the right side i showed you how i got to the answer.

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I need help writing the first 5 terms of the sequence!

Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

$a_{1}=1$

$a_{n}=a_{n-1}+3$

General term of the arithmetic sequence.

$a_{n}=a_{n-1}+d$ , where d is the common difference.

d = 3

$a_{n}=a_{n-1}+3$

Put n = 2 in $a_{n}=a_{n-1}+3$ , we get

$a_{2}=a_1+3$

$a_{2}=1+3$

$a_2=4$

Put n = 3 in $a_{n}=a_{n-1}+3$ , we get

$a_{3}=a_2+3$

$a_{3}=4+3$

$a_3=7$

Put n = 4 in $a_{n}=a_{n-1}+3$ , we get

$a_{4}=a_3+3$

$a_{4}=7+3$

$a_4=10$

Put n = 5 in $a_{n}=a_{n-1}+3$ , we get

$a_{5}=a_4+3$

$a_{5}=10+3$

$a_5=13$

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0

3 years ago

2 PUIHS

tatiyna

Answer:

45%

Step-by-step explanation:

3 0

3 years ago

What is the value of the expression 11 − (fraction 1 over 2)4 ⋅ 48? 3 5 8 9

olga55 [171]

$11-\left(\dfrac{1}{2}\right)^4\cdot48=11-\dfrac{1}{2^4}\cdot48=11-\dfrac{1}{16}\cdot48=11-\dfrac{48}{16}=11-3=8$

8 0

3 years ago

If x and y are complementary angles, then y is a right angle. right?

Nikitich [7]

Always because the sum of x and y is 180 degrees. If x and y are right angles, then x and y are supplementary angles. Never because the sum of x and y has to be 90 degrees. If x and y are complementary angles, then y is a right angle.

4 0

3 years ago

Sin^2x + sin2x +2cox^2x = 2

Effectus [21]

Answer:

Step-by-step explanation:

$sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.$

5 0

2 years ago

Find the value of the variable​

Find the value of the variable