The nth term of an arithmetic sequence = a + [(n - 1) X d]
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.
A(1) = 12A(4) = 3 A(10) = -15.
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!
0.5n(n+1)
The nth term of an arithmetic sequence = a + [(n - 1) X d]
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).
There is no single rule. Furthermore, some rules can be extremely complicated.
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.
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.
An arithmetic sequence is a list of numbers which follow a rule. A series is the sum of a sequence of numbers.
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, ....
The answer depends on what the explicit rule is!
A(1) = 12A(4) = 3 A(10) = -15.
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!
0.5n(n+1)
There is no simple answer because there is no simple rule for primes: it is certainly NOT an arithmetic progression.