Mathematics, 22.07.2019 23:50 pim9705876

What is common difference of the following arithmetic sequence?

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Answer from: 20calzoy

The common difference(d) is obtained by subtracting any two consecutive terms in an arithmetic series.

For example, if $a_{1}$ is the first term and $a_{2}$ is the second term in an arithmetic sequence then the common difference, d, will be $d = a_{2} -a_{1}$

Further Explanation;SequenceA sequence refers to a set of numbers, called terms, arranged in some particular order.There are two major types of sequences.Arithmetic sequenceAn arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference (d).

For example;

2,4,6,8,10,12,.............. is an arithmetic sequence with a common difference of 2.

The nth term of an arithmetic series is therefore given by;

$a_{n} = a_{1} + (n-1)d$

Where is the first term and d is the common difference.

Geometric sequenceA geometric sequence is a sequence with the ratio between two consecutive terms constant.The sequence follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

For example;

0.02, 0.2, 2, 20, 200, 2000, ........... is a geometric sequence in which the common ratio is 10.

The nth term of a geometric sequence is given by;

$a_{n} =a_{1} r^{n-1}$

where $a_{1}$ is the first term and r is the common ratio

Key words: sequence, arithmetic sequence, geometric sequence, common difference, common ratio

Learn more about;

Arithmetic sequence: Geometric sequence: Example of a geometric sequence:

Level: High school

Subject: Mathematics

Topic: Sequence and series

Sub-topic: Arithmetic sequence

Answer from: Quest

may i see the picture? it would a lot, xox

Answer from: Quest

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !

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