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2 years ago

Nth term of the sequence 8,48,288

Mathematics

1 answer:

Kruka [31]2 years ago

8 0

Answer:

Step-by-step explanation:

$a_1=8\\a_2=48\\a_3=288\\\\288:48=6\\48:8=6\\\\ \dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}= 6$

Therefore it's geometric sequence with common ratio of 6

$a_n=a_1\cdot r^{n-1}\\\\a_1=8\\r=6\\\\a_n=8\cdot6^{n-1}$

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Ten members of the academic team went to a local restaurant after their contest. Each meal combo that came with soda cost $6.75,

Aneli [31]

Answer:

7 ordered with Soda;

3 ordered with water

Step-by-step explanation:

Given

$m \to$ With water

$n \to$ With Soda

So:

$m + n =10$ --- total

$5m + 6.75n = 62.25$ -- cost

Required

Find m and n

$m + n =10$

Make m the subject

$m = 10 - n$

Substitute $m = 10 - n$ in $5m + 6.75n = 62.25$

$5(10-n) +6.75n = 62.25$

$50-5n +6.75n = 62.25$

Collect like terms

$-5n +6.75n = 62.25 - 50$

$-5n +6.75n = 12.25$

$1.75n = 12.25$

Solve for n

$n = 12.25/1.75$

$n = 7$

$m = 10 - n$

$m = 10 - 7$

$m =3$

8 0

2 years ago

Which are the solutions of the equation x^4 - 5x^2 - 36 = 0

V125BC [204]

4x-10x = 36
-6x = 36
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4 0

3 years ago

Read 2 more answers

Which measure of center is the most appropriate for this

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Step-by-step explanation:

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3 years ago

Simplify the expression.<br> -5+i/2i

Lostsunrise [7]

Answer:

$\rm - \dfrac{11}{2}$

Step-by-step explanation:

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7 0

3 years ago

The list shows the number of students

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

263-239=24

7 0

2 years ago