Sequences and series questions | form three Basic Mathematics

Find the first term and the common difference of an arithmetic prograssion whose 5^th term is 21 and 8^th term is 30.

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UNSOLVED

Find the 10^th term of a sequence whose first three consecutive terms are 5, 15 and 45. (Leave the answer in exponent form).

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UNSOLVED

1. Explain with examples the relationship between sequences and series.
2. Show that the sum of the first n natural numbers is given by the formula .
3. By using the formula in (ii) above calculate the sum of the first 100 natural numbers.

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UNSOLVED

Given that 49, x and 81 are consecutive terms of a geometric progression. Find :

1. the value of x
2. the geometric mean.

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UNSOLVED

If an arithmetic progression has A₁ as the first term and d as the common difference,

1. Write the second , thirs , fourth and fifth terms,
2. Establish the formula for the sum of the first five terms of the arithmetic progression by using the results in part (i)

Answer / Solution

UNSOLVED