Find the 25th of sequence 3,5,7,9,11

Mathematics

1 answer:

zubka84 [21]1 year ago

5 0

Answer: The 25th term of the sequence is 75

Step-by-step explanation:

The given sequence depicts an arithmetic progression. The consecutive terms differ by a common difference. We will apply the formula for arithmetic progression.

Tn = a + (n-1)d

Tn = The value of the nth term of the arithmetic sequence.

a = first term of the sequence.

d = common difference (difference between a term and the consecutive term behind it)

n = number of terms in the sequence.

From the information given,

a = 3

d = 5-3 = 7-5 = 2

We want to look for the 25th term, T25

So n = 25

T25 = 3 + (25-1)2 = 3+ 24×2

T25 = 3 + 72 = 75

You might be interested in

Calvin throws 12 sheets of paper up in the air and randomly catches one of the sheets as they float down. Of the 12 sheets of pa

Leokris [45]

Total number of sheets are 12.

Total number of white sheets= 9

Total number of red sheets = 3

Probability = Number of favorable outcomes/ total number of outcomes.

Hence

When Calvin throws the sheets in the air, the probability that he gets a white sheet is

$\frac{9}{12}$

which equals to $\frac{3}{4}$

that becomes 0.75

7 0

2 years ago

Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. How many years will it take for

stepan [7]

The decay rate should have units, it should be negative and it should be 100 times smaller than what you posted.
k = -.000124 / years

k = -.000124 / years
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.000124
Half-Life = 5589.8951612903 
Half-Life = 5,590 (rounded)

elapsed time = half-life * log(bgng amt / end amt) / log(2)
elapsed time = 5,590 * log(10) / 0.3010299957 
elapsed time = 5,590 * 1 / 0.3010299957 
elapsed time = 18,569 years

Source:
http://www.1728.org/halflife.htm

5 0

2 years ago

Read 2 more answers

A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th

Volgvan

Answer:

We are given:

Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:

$z_{\frac{0.01}{2}}=2.576$