Question

In: Math

Given Arithmetic Progression 12, 16, 20, 24, . . .

Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.

Solutions

Expert Solution

The given sequence is 12, 16, 20, 24, . . .

Here,
First term (a) = 12

Common difference (d) = a2 – a1 = 16 – (12) = 4

Now,
a24=a+n-1d      =12+24-14      =12+234      =104">a24=a+(n1)d      =12+(241)4      =12+(23)4      =104a24=a+n-1d      =12+24-14      =12+234      =104

Hence, the 24th term of the progression is 104.


Hence, the 24th term of the progression is 104.

Related Solutions

Arithmetic progression.
If a, b, c are in A.P. and P is the A.M. between a and b, and q is the A.M. between b and c, show that b is the A.M. between p and q.
Number of terms in Arithmetic progression.
How many terms are there in the AP 20, 25, 30,........140
A sequence {an} is given by: an = n2 - 1, n € N. Show that it is not an arithmetic progression (A.P)?
A sequence {an} is given by: an = n2 - 1,   n € N. Show that it is not an arithmetic progression (A.P)?   
<16 12 227 12 77 16-20 6,424 5,180 6,139 2,11 21-24 6,916 5,016 6.816 1,538 25-34...
<16 12 227 12 77 16-20 6,424 5,180 6,139 2,11 21-24 6,916 5,016 6.816 1,538 25-34 18,068 8.594 17,664 2,780 35-44 20,406 7,990 20,076 2,742 45-54 19,898 7,120 19,984 2,285 55-64 14,339 4,527 14,441 1,514 65-74 8,194 2,274 8,418 938 >74 4,803 2,022 5,375 961 The data in the table represent the number of licensed drivers in various age groups and the number of fatal accidents within the age group by gender. Complete parts ​(a) through ​(c) below ​(a) Find...
Given the following numbers:   25 16 61 18 15 20 15 20 24 17 19 28,...
Given the following numbers:   25 16 61 18 15 20 15 20 24 17 19 28, derive the mean, median, mode, variance, standard deviation, skewness, kurtosis, range, minimum, maximum, sum, and count. Interpret your results. What is the empirical rule for two standard deviations of the data?
Given the following numbers: 25 16 61 18 15 20 15 20 24 17 19 28,...
Given the following numbers: 25 16 61 18 15 20 15 20 24 17 19 28, derive the mean, median, mode, variance, standard deviation, skewness, kurtosis, range, minimum, maximum, sum, and count. Interpret your results. What is the empirical rule for two standard deviations of the data?
How many terms are in the finite arithmetic sequence 12, 20, 28, … , 172?
How many terms are in the finite arithmetic sequence 12, 20, 28, … , 172?  
A B C 8 24 19 12 16 28 22 22 24 15 14 31 18...
A B C 8 24 19 12 16 28 22 22 24 15 14 31 18 20 19 9 32 Test at the 5% level of significance to see if the means are all the same. 1. What is the null and alternate hypotheses? 2. What is the p-value? 3. Decide if you reject or accept (fail to reject) your null hypothesis. 4. Decide if you reject or accept (fail to reject) your claim.
For the arithmetic progression a1, a2, a3 .......... if a4/a7 = 2/3. Find a6/a8 ?
For the arithmetic progression a1, a2, a3 .......... if a4/a7 = 2/3. Find a6/a8 ?
Split 69 into 3 parts in an arithmetic progression (A.P) such that the product of the two smaller parts is 483?
Split 69 into 3 parts in an arithmetic progression (A.P) such that the product of the two smaller parts is 483?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT