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Find the sum of an arithmetic progression of seventeen terms whose middle term is 5?
85 (=17*5).
The middle term is 5. There are 8 terms bigger than 5 and 8 smaller.
The term smaller than 5 and next to it is 5 - r
The term bigger than 5 and next to it is 5 + r
So these two average 5.
Similarly, the next pair outwards average 5; and so on.
So the sum of the progression is equivalent to the sum of 8 pairs of numbers whose average is 5 and the middle term which is 5 ie 17 lots of 5.
What else can I help you with?
What is an arithmetic series?
An arithmetic series is the sum of the terms in an arithmetic progression.
Who gave the formula for finding sum of the first 'n' terms in Arithmetic Progression?
RAMANUJANRAMANUJAN
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 -2-6-18-54-162-468-1458 geometric or arithmetic?
It is neither. (-6) - (-2) = -4 (-18) - (-6) = -12 which is not the same as -4. Therefore it is not an arithmetic progression - which requires the difference between successive terms to be the same. Also -162/-54 = 3 -468/-162 = 2.88... recurring, and that is not the same as 3. Therefore it is not a geometric progression - which requires the ratio of terms to be the same.
What is an arithmetic series?
An arithmetic series is the sum of the terms in an arithmetic progression.
What is harmonic sequence?
It is a progression of terms whose reciprocals form an arithmetic progression.
Arithmetic progression?
This a progression that involves addition or subtraction of successive terms in a sequence.
What is the difination of the harmonic sequence?
A harmonic sequence is a sequence of numbers in which the reciprocal of each term forms an arithmetic progression. In other words, the ratio between consecutive terms is constant when the reciprocals of the terms are taken. It is the equivalent of an arithmetic progression in terms of reciprocals.
Who gave the formula for finding sum of the first 'n' terms in Arithmetic Progression?
RAMANUJANRAMANUJAN
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
8th termof an arithematic progression is16 what is its 12th term?
Any number you like. You need two terms to uniquely identify an arithmetic progression.
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 }.
Formula to find out the sum of n terms?
It is not possible to answer this question without information on whether the terms are of an arithmetic or geometric (or other) progression, and what the starting term is.
What is the sum of fifteen terms of arithmetic progresion whose eighth term is 4?
This question is impossible to answer without knowing the difference between successive terms of the progression.
Find the sum of an A.P of seventeen terms whose middle term is 5?
It is 85.
Difference between AP series GPs reis?
In an arithmetic progression (AP), each term is obtained by adding a constant value to the previous term. In a geometric progression (GP), each term is obtained by multiplying the previous term by a constant value. An AP will have a common difference between consecutive terms, while a GP will have a common ratio between consecutive terms.
