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Indicate a general rule for the nh term of this sequence. 12a, 15a, 18a, 21a, 24a,...

adelina 88 [10]

Answer:

The general rule for the nth term of this sequence will be:

$a_n=3na+9a$

Step-by-step explanation:

Given the sequence

12a, 15a, 18a, 21a, 24a,...

An arithmetic sequence has a constant difference 'd' and is defined by

$a_n=a_1+\left(n-1\right)d$

Here,

a₁ = 12a

computing the differences of all the adjacent terms

d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a

using the nth term formula

$a_n=a_1+\left(n-1\right)d$

substituting a₁ = 12a, d = 3a

$a_n=12a+\left(n-1\right)3a$

$=12a+3na-3a$

$=3na+9a$

Therefore, the general rule for the nth term of this sequence will be:

$a_n=3na+9a$

6 0

3 years ago

PLS HELP IT IS EZZZZZZZZZZZZZZ Latavia purchased adult and child tickets for the fall festival. Tickets cost $14.88 for each adu

charle [14.2K]

Answer:

14.88x + 8.88y

Step-by-step explanation:

Just multiply the numbers:

14.88x + 8.88y

7 0

3 years ago

Read 2 more answers

Jay is letting her bread dough rise. After three hours, her bread dough is \dfrac{11}{5} 5 11 start fraction, 11, divided by,

timama [110]

Answer:

Jay's bread size is 220% of the original size.

Step-by-step explanation:

The question is incomplete.

The complete question is as follows.

Jay is letting her bread rise. After 3 hours,her bread is at 11/5 of its original size. What percent of its original size is jays bread dough?

Solution:

Let the original bread size be = $100$ units

After 3 hours the bread rises = $\frac{11}{5}$ of the original size

New size of bread = $\frac{11}{5}\times 100=220$ units

Percent of original size the new bread is

⇒ $\frac{New\ bread\ size}{Original\ bread\ size}\times 100$

⇒ $\frac{220}{100}\times100$

⇒ $220\%$

6 0

4 years ago

Find the Range and Domain of the Binary relations

sukhopar [10]

Answer:

A = {3,5,6}

B = {1,3}

A x B = {(3,1),(3,3),(5,1),(5,3),(6,1),(6,3)}

Domain of A x B = (The x figures in ascending order)

=> {3,5,6} (Figures repeating more than once must be written only 1 time)

Range of A x B = (The y figures in ascending order)

=> {1,3}

B x A = {(1,3),(3,3),(1,5),(3,5),(1,6),(3,6)}

Domain of B x A = {1,3}

Range of A x B = {3,5,6}

8 0

4 years ago

Solve 2x2 – 6x + 10 = 0 by completing the square.

Elanso [62]

Answer:

The answer is C.)

Step-by-step explanation:

I hope its help Please let me know.

3 0

3 years ago