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1,11,21,31,41, ... goes on forever. The common difference is 10. Start with the number 1 and since 10 is the common difference, add 10, you have 11, now add 11 again and you have 21, keep going like this. The sum S of the first n values of a finite sequence is given by the formula: S = 1/2(a1 + an)n, where a1 is the first term and an the last. So in the example I gave, take the first 3 numbers, 1, 11 and 21. S is the sum of them which we know is 33 just by adding 1 +11+21 Now using the formula, S=1/2[(1+21)3]=1/2(66)=33 as we expected. Here is the formula for the nth term an = 1/2(an-1 + an+1)
What else can I help you with?
What is a rectangular number sequence?
A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way. The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.
Can you show me more example?
Sure! Could you please specify what type of examples you are looking for? Whether it's related to a particular topic, concept, or format, I'd be happy to provide more tailored examples for you.
The common difference in an arithmetic sequence is a positive number?
could also be negative
Is an arithmetic mean a weighted mean or a weighted mean an arithmetic mean?
The arithmetic mean is a weighted mean where each observation is given the same weight.
Is 2 3 5 8 15 geometric or arithmetic?
Neither. It could be polynomial (of order 4 or more) or something else.
What is example of Could you (please)...?
could you please give me examples of your work
What is a rectangular number sequence?
A rectangular number sequence is the sequence of numbers of counters needed to construct a sequence of rectangles, where the dimensions of the sides of the rectangles are whole numbers and change in a regular way. The individual sequences representing the sides are usually arithmetic progressions, but could in principle be given by difference equations, geometric progressions, or functions of the dimensions of the sides of previous rectangles in the sequence.
Use arithmetic in a sentence?
He could do arithmetic in his head *really fast. *optional
Is it true that Einstein could not do simple arithmetic?
no
What are some examples of each?
Could you please clarify what specific items or categories you'd like examples of? This will help me provide a more accurate and relevant response.
What are the other examples?
Could you please provide more context or specify the topic you would like examples for? This will help me give you a more accurate and relevant response.
What is the study of an astrologer's day?
I don't know what you are referring to. You could be referring to transits or progressions which are used for astrological forecasts.
Could you please tell me what three examples of colonization are?
Sure! Examples of colonization include the British colonization of India, the Spanish colonization of Latin America, and the French colonization of Algeria.
What are three examples of hordeorve?
I'm not sure what "hordeorve" refers to. Could you please provide more context or clarify your question?
Find 3 examplesof each?
Could you please specify the topic or category for which you would like me to provide three examples?
What is The Devil's Arithmetic rated?
The Devil's Arithmetic starring Kristen Dunst is rated TV-14. This could mean PG-13 or R.
What are the examples of a mild command?
Mild commands are gentle suggestions or requests that encourage action without sounding forceful. Examples include phrases like "Could you please pass the salt?" or "Would you mind closing the door?" These commands maintain a polite tone and often use words like "could," "would," or "please" to soften the request.
