an = a1+ d(n-1)
a1 =14
an=206 when n=25
206 = 14 + d (25-1)
206 = 14 + d * 24
subtract 14 from each side
192 = 24d
divide by 24 on each side
d=8
The common difference is 8
Answer:
Amount = p( 1+r/100) ^n
= 12000 ( 1+10/100) ²
= 12000( 10/10+1/10) ²
= 12000( 11/10) ²
= 12000 x 11/10 x 11/10
= 14520 rs.
Compund interest = amount - principal
= 14520 - 12000
= 2520rs.
Next question :- no of men can complete a piece of work in 7 days = 36
No of men can complete a piece of work in 42 day = ( 36 x 7 ) ÷ 42
= 252 ÷ 42
= 6 men
(x + 5/2 * 2/5)^2 = -5/2
(x)^2 sqrt 2 = -5/2 sqrt 2
(x) = i sqrt10/2 - 5/2, i sqrt10/2 - 5/2
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at brainly.com/question/24663213