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Leno4ka [110]
3 years ago
10

What is the third term of the sequence ? An=3•2^ (n-1)

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

12

Step-by-step explanation:

A₃ = 3 * 2⁽³⁻¹⁾ = 3 * 2² = 3 * 4 = 12

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oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
2 years ago
7 less than 4 times a number is 5 less than 6 times the same number. Find the number.
Alex73 [517]

Answer:  -1

Step-by-step explanation:

(4*X-7) = (6X -5)

4X -7 = 6X - 5

2X = -2

X = -1

5 0
2 years ago
Your credit card has a balance of $5400 and an annual interest rate of 17%. You decide to pay off the balance over two years. If
Phoenix [80]

Answer:

5400/12= 450 paid

1006.56/2=503.28 interest

total is 5,903.28

total for paid 491.94 for months

Step-by-step explanation:

6 0
3 years ago
a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability tha
steposvetlana [31]

Answer:

the probability is 5 i think

Step-by-step explanation:

4 0
3 years ago
Jessica purchased a prepaid phone card for $25. Long distance calls cost 19 cents a minute using this card. Jessica used her car
maxonik [38]

Answer: 27.27 seconds?

Step-by-step explanation:

25 - 16.26 = 8.74

19/8.74 = 2.2 (Rounded up)

60/2.2 = 27.27

5 0
3 years ago
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