Arithmetic and geometric sequencesIB MYP Maths Extended: Flashcards

What these 13 flashcards ask

What is an arithmetic sequence?
nth term of an arithmetic sequence?
Sum of the first n terms of an arithmetic series?
Another form of the arithmetic sum?
What is a geometric sequence?
nth term of a geometric sequence?
Sum of the first n terms of a geometric series?
How do you find the common ratio?
Multiplier for 4\% growth?
Multiplier for a 10\% fall?
Compound interest on a principal P at rate r\% for n years?
Is simple interest arithmetic or geometric?
7, 11, 15,\dots: the 20th term?

Exam questions on Arithmetic and geometric sequences

An arithmetic sequence has first term $u_1=7$ and common difference $d=4$ .
Find the sum of the first $20$ terms.2 marks
A geometric sequence has first term $u_1=3$ and common ratio $r=2$ .
Find the position of the first term in the sequence that is greater than $1000$ .2 marks
Amira invests AED $2000$ in an account that pays $4\%$ compound interest per year. The interest is added at the end of each year. A calculator may be used.
Find the value of the investment after $5$ years, to the nearest fils (2 decimal places).3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).