Arithmetic Questions
Explore questions in the Arithmetic category that you can ask Spark.E!
What is the sum of the first n natural numbers?
How would you work out the sum of arithmetic sequence?
Write down the notation for finding the third term a sequence
How would you work out the sum of the first n natural numbers?
When does a geometric sequence or series diverge?
What is the recurrence relation for a sequence where each term is 2 more than the previous term?
What would you need to show to prove that a sequence is decreasing?
The value of Brian's car at the end of the first year was £7200. After the first year, the value of the car depreciated, each month, by 2% of it value at the start of that month. What number term will £7200 be at? And the second year be?
What sort of sequence is in this question: Maggie initially places £50 into an account and plans to increase her payments by a constant amount each month. Given that she would like to reach a total of £6000 in 29 months, by how much should Maggie increase her payment each month?
An infinite geometric series has first four terms 1 -4x +16x^2 -64x^3 + .... The series is convergent. Explain how you would find the set of possible values of x for which the series converges.
What happens when you divide by the negative here: 100(1 - 1.05^n) < -300
What would you need to show to prove that a sequence is increasing?
How can you work out the r value for a geometric sequence? Give two examples
A ball is dropped from a height of 80cm. After each bounce it rebounds to 70% of its precious maximum height. Find the height to which the ball will rebound after the fifth bounce
Explain what you would do if you a sequence had terms: 5, 8, 11, with the sequence representing squares then the question said: Jacob uses a total of 948 squares in constructing the first k patterns. Show that 3k^2 + 7k - 1896 = 0
A ball is dropped from a height of 80cm. After each bounce it rebounds to 70% of its previous maximum height. What do you need to use to find the total vertical distance travelled by the ball before it stops bouncing?
When writing a recursive formula, you must include...
When asked to list the first few terms of a sequence, why do we NOT include term 0?
Both arithmetic and geometric sequences start at term...
In a geometric sequence, what are two other words for k?