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Add a constant number to one term to find the next term

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Q: What rule is for finding terms in arithmetic sequences?
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Rule to finding terms in a arithmetic sequence?

The nth term of an arithmetic sequence = a + [(n - 1) X d]


What does number sequence mean?

Number sequences are sets of numbers that follow a pattern or a rule. If the rule is to add or subtract a number each time, it is called an arithmetic sequence. In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms).


What is the rule for sequences?

There is no single rule. Furthermore, some rules can be extremely complicated.


How do you find the next term of a sequence number?

The first step is to find the sequence rule. The sequence could be arithmetic. quadratic, geometric, recursively defined or any one of many special sequences. The sequence rule will give you the value of the nth term in terms of its position, n. Then simply substitute the next value of n in the rule.


What is the diffeence between the term to term rule and the common difference in maths?

The common difference does not tell you the location of the sequence. For example, 3, 6, 9, 12, ... and 1, 4, 7, 10, .., or 1002, 1005, 1008, 1011, ... all have a common difference of 3 but it should be clear that the three sequences are different. A common difference is applicable to arithmetic sequences, not others such as geometric or exponential sequences.


What is the difference between an arithmetic series and an arithmetic sequence?

An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.


What maths sequences can you start with 4 and 8?

one rule would be an+1 = an + 4 ; a0= 4. This gives 4,8,12,16,20,..... This is called an arithmetic sequence. A geometric rule would be an+1 = 2an; a0= 4. This gives 4,8,16,32,64,... Another rule is an+1 = an/2 + 6 ; a0= 4. This gives 4, 8, 10, 11, 11.5,11.75, ....


What is the Th term of the arithmetic sequence given by the explicit rule?

The answer depends on what the explicit rule is!


What are the first fourth and tenth terms of the arithmetic sequence described by the given rule A(n) 12 plus (n-1) (3)?

A(1) = 12A(4) = 3 A(10) = -15.


How do you write a rule for the nth term of this arithmetic sequence d equals 4 a14 equals 46?

THIS MAY OR MAY NOT BE CORRECT, but, from what I understand, this is how you do it:it looks like this so far, right?d=4 , a14=46so, using this formula---> an=a1 + d(n-1)plug in your values.now you have: an = a14 + 4(n-1)this is what i think is the answer. for help (better help) with arithmetic sequences, go to:http:/www.basic-mathematics.com/arithmetic-sequence.htmlthis website will really help! there is even an arithmetic sequence calculator!Hope I helped!


What is triangular sequences nth term rule?

0.5n(n+1)


How you can write an account of prime numbers in arithmetic progressions?

There is no simple answer because there is no simple rule for primes: it is certainly NOT an arithmetic progression.