Arithmetic
Sequences & Series
A arithmetic sequence is a set of numbers where the next number is created by adding another number. A series is when you add up that sequence. Here you'll find more than a dozen solved problems.
Which number belongs?
A sequence is given and you'll need to figure out if a certain number belongs in that sequence.
Find "d"
In this problem you're given a sequence and asked to find the common difference.
Find "d" (again!)
This sequence has fractions. It's a little harder to find the common difference.
Find "d" given the formula for Tn.
Given Tn = -7 + (n-1)(-2.5), find "d"
Given a sequence, find the formula for Tn.
Given terms -9, -1, 7, 15, 23 ... find formula for Tn.
Find the sum
Find the sum of -5+(-7)+(-9)+...+(-19).
Find the sum (again)
Given T1=-2; T3=7; and n=15. Find the sum.
Find the sum (different)
Given T1=1/2; d=3; and n=19. Find the sum.
Find T1, d & n.
Given 107+130+153+...+981, find T1, d and n.
Word Problem!! Saving money.
On day one, Mike places 5c in a jar. The next day, he place 7c. Then 9c. Etc. How much will he have after 24 days?
Three harder problems
Q1. Find T1, d, and T20 giving a sequence. Q2. Find T1, d, and T20, given a more difficult sequence. .005;.05;.5; ...
Q3. Find Tn, Sn, T12, and S4 for this sequence: T1=2; d=3; n=4.
Number and letters!
Determine the sum of 4k+11k+18k+...+74k.
Word Problem - Harder!
2 weeks after opening, a fitness club has 870 members. After 8 weeks this grows to 1110. How many joined each week? And how many were there after week 1?
Bonus exam question.
In an arith. series, S5=70 and S11=372. Determine T1 and d. And S30 and S50. Also the sum of the terms from 35 to 40.