MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series
Problem
Consider the two numbers 7 and 43.
(i) Determine how many arithmetic means must be inserted between them so that the common difference of the resulting progression is 4.
(ii) Write the complete sequence obtained, including the given numbers and all the means found in part (i).
(iii) Verify, by direct substitution, that the last term of your sequence equals 43.