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The 'nth term of an Arithmetic Progression is 3n-2.Find the sum of first n terms.What is the sum of first 10 terms?
Wiki User
∙ 13y ago
The sum of the 1st n terms is :
N(3N-1)/2
Explanation : The sum from 1 to N of (3m-2) = 3 * sumFrom1toN(m) - sumFrom1toN(2) = 3 * (N*(N+1)/2) -2*N = N(3N-1)/2
For N=10 => 145
Wiki User
∙ 13y ago
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Which term is the first negative term of the arithmetic progression 242016?
-4 is the first negative term. The progression is 24,20,16,12,8,4,0,-4,...
Is 15 26 37 48 59 an arithmetic sequence?
It is an Arithmetic Progression with a constant difference of 11 and first term 15.
What is the difference between arithmetic progression and geometric progression?
In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant. That is, Arithmetic progression U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1) + d = U(1) + (n-1)*d Geometric progression U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1)*r = U(1)*r^(n-1).
The first term in a sequence is 1 and the second term is 5From the third term on each term is the average of all preceding termswhat is the 25th term in the sequence?
3
If the seventh term of an arithmetic progression is 15 and th twelfth term is 17.5 find the first term?
There are 5 common differences between seventh and twelfth terms, so the CD is 2.5/5 ie 0.5. First term is therefore 15 - 6 x 0.5 = 12.
Which term is the first negative term of the arithmetic progression 242016?
-4 is the first negative term. The progression is 24,20,16,12,8,4,0,-4,...
The 7th term of an arithmetic progression is 6 The sum of the first 10 terms is 30 Find the 5th term of the progression?
2
What is the sum of the first 15 terms of an arithmetic?
For an Arithmetic Progression, Sum = 15[a + 7d].{a = first term and d = common difference} For a Geometric Progression, Sum = a[1-r^15]/(r-1).{r = common ratio }.
Is 15 26 37 48 59 an arithmetic sequence?
It is an Arithmetic Progression with a constant difference of 11 and first term 15.
Who gave the formula for finding sum of the first 'n' terms in Arithmetic Progression?
RAMANUJANRAMANUJAN
What is the sum of the first 450 consecutive odd numbers?
You can use one of the formulae for the sum of an arithmetic progression to calculate that.
What is the difference between arithmetic progression and geometric progression?
In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant. That is, Arithmetic progression U(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1) + d = U(1) + (n-1)*d Geometric progression U(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ... Equivalently, U(n) = U(n-1)*r = U(1)*r^(n-1).
What is the difference of arithmetic progression to geometric progression?
In an arithmetic progression the difference between each term (except the first) and the one before is a constant. In a geometric progression, their ratio is a constant.That is,Arithmetic progressionU(n) - U(n-1) = d, where d, the common difference, is a constant and n = 2, 3, 4, ...Equivalently,U(n) = U(n-1) + d = U(1) + (n-1)*dGeometric progressionU(n) / U(n-1) = r, where r, the common ratio is a non-zero constant and n = 2, 3, 4, ...Equivalently,U(n) = U(n-1)*r = U(1)*r^(n-1).
Who was the first to know about global warming?
It appears to have been Svante Arrhenius (1859-1927) in 1896, a Swedish scientist who developed what is now know as the 'greenhouse gas law':"if the quantity of carbonic acid increases in geometric progression, the augmentation of the temperature will increase nearly in arithmetic progression"
What is the first term of an arithmetic sequence with a common difference of 6 and a fifth term of 35?
35 minus 4 differences, ie 4 x 6 so first term is 11 and progression runs 11,17,23,29,35...
The first term in a sequence is 1 and the second term is 5From the third term on each term is the average of all preceding termswhat is the 25th term in the sequence?
3
What is geometric and arithmetic?
They are both adjectives. The first relates to geometry and the second to arithmetic.
