What are the next three terms in the pattern 2, 6, 18, 54, ...?
2 answers:
Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e.,
.
Similarly, .
Also, .
Hence, OPTION B is the answer.
You might be interested in
Answer:
<h3> sum of the roots:From Vieta's formulas applied to quadratic polynomial we have:
if then
sum of roots:
product of the roots:
Answer:
Step-by-step explanation:
In a coin toss the probability of tossing a head is 0.5 (50% head/50% tails)
If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:
R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of so:
<u>For example, to toss 4 heads in 5 rounds: </u>
- n=5
- 2n=10
- m=4