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lesantik [10]
3 years ago
5

Consider the arithmetic sequence 3,8,13,18 find S15

Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  

5

to the previous term in the sequence gives the next term. In other words,  

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

5

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of  

a

1

=

3

and  

d

=

5

.

a

n

=

3

+

(

5

)

(

n

−

1

)

Simplify each term.

Tap for more steps...

a

n

=

3

+

5

n

−

5

 

Subtract  

5

from  

3

.

a

n

=

5

n

−

2

Step-by-step explanation:

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A large cat at the zoo need to eat at least 14 pounds of raw meat each day. The zoo feeds the cat using cainsters that each cont
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14 ≤ 3.5 + 1.75c

Step-by-step explanation:

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4 0
2 years ago
HELP ME ANYONE ANYONE PLEASEEEEE I BEG FOR LOVE OF JESUS
soldi70 [24.7K]

Answer:

b. -84

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{a}{-7} - 7 = 5<u />

<u />

<u>Step 2: Solve for </u><em><u>a</u></em>

  1. Addition Property of Equality:                    \displaystyle \frac{a}{-7} - 7 + 7 = 5 + 7
  2. [Simplify] Add:                                             \displaystyle \frac{a}{-7}= 12
  3. Multiplication Property of Equality:           \displaystyle -7 \cdot \frac{a}{-7} = 12 \cdot -7
  4. [Simplify] Multiply:                                      \displaystyle a = -84

<u>Step 3: Check</u>

<em>Plug in a into the original equation to verify it's a solution.</em>

  1. Substitute in <em>a</em>:                    \displaystyle \frac{-84}{-7} - 7 = 5
  2. [Frac] Divide:                       \displaystyle 12 - 7 = 5
  3. Subtract:                              \displaystyle 5 = 5

Here we see that 5 does indeed equal 5.

∴ a = -84 is the solution to the equation.

7 0
3 years ago
Howwww?????<br> Answersss????
Anastaziya [24]

Answer:add 8 red

Step-by-step explanation:

the ratio is 1 red to 3 blue so you would add 8 red so it would be 9-3 which when u simplify it would be 3:1

3 0
3 years ago
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