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How can you find the first term of an arithmetic sequence if you know the third and fifth terms?
Wiki User
∙ 13y ago
Suppose A is the first term and R is common difference.
Then, if t(n) is the nth term,
t(n) = A + n*R
Then
t(5) = A + 5R
and
t(3) = A + 3R
so that
t(5) - t(3) = 2R
Now t(1) = A + R = A + 3R - 2R (since R = 3R - 2R)
So t(1) = t(3) - 2R
You were given t(3) and have calculated 2R above, so can work out t(1).
Wiki User
∙ 13y ago
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What is the type of sequence where the terms in the sequence are found by adding the same number each time?
That's an arithmetic sequence.
Does the terms of an arithmetic sequence have a common ratio?
No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.
Rule to finding terms in a arithmetic sequence?
The nth term of an arithmetic sequence = a + [(n - 1) X d]
How do you determine if a sequence is arithmetic?
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
What is the difference between an arithmetic series and a geometric series?
An arithmetic series is the sequence of partial sums of an arithmetic sequence. That is, if A = {a, a+d, a+2d, ..., a+(n-1)d, ... } then the terms of the arithmetic series, S(n), are the sums of the first n terms and S(n) = n/2*[2a + (n-1)d]. Arithmetic series can never converge.A geometric series is the sequence of partial sums of a geometric sequence. That is, if G = {a, ar, ar^2, ..., ar^(n-1), ... } then the terms of the geometric series, T(n), are the sums of the first n terms and T(n) = a*(1 - r^n)/(1 - r). If |r| < 1 then T(n) tends to 1/(1 - r) as n tends to infinity.
The sum of the first 5 terms of an arithmetic sequence is 40 and the sum of its first ten terms is 155what is this arithmetic sequence?
a1=2 d=3 an=a1+(n-1)d i.e. 2,5,8,11,14,17....
What is the type of sequence where the terms in the sequence are found by adding the same number each time?
That's an arithmetic sequence.
What is a sequence in which a common difference separates terms?
arithmetic sequence
Is The Fibonacci sequence arithmetic?
No, the Fibonacci sequence is not an arithmetic because the difference between consecutive terms is not constant
Does the terms of an arithmetic sequence have a common ratio?
No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.
Rule to finding terms in a arithmetic sequence?
The nth term of an arithmetic sequence = a + [(n - 1) X d]
How do you determine if a sequence is arithmetic?
The sequence is arithmetic if the difference between every two consecutive terms is always the same.
What is the sum of the first ten terms of the arithmetic sequence 4 4.2 4.4...?
49
A sequence in which the terms change by the same amount each time?
Arithmetic Sequence
What is it where you find terms by adding the common difference to the previous terms?
An arithmetic 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.
A sequence in which the difference between any two consecutive terms is the same?
arithmetic sequence this is wrong
