nth term, sum of n terms, applications to real-life problems.
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Q1 · Arithmetic Progression · EASY
The 5th term of an arithmetic progression is 23 and the 9th term is 39. Find the first term of the AP.
Q2 · Arithmetic Progression · MEDIUM
In an arithmetic progression, the sum of the first 10 terms is 185 and the sum of the first 20 terms is 670. What is the common difference of the AP?
Q3 · Arithmetic Progression · MEDIUM
A contractor plans to install lights on a street. On the first day, he installs 5 lights. Each subsequent day, he installs 3 more lights than the previous day. How many lights will he have installed in total by the end of 15 days?
Q4 · Arithmetic Progression · HARD
The sum of three consecutive terms of an arithmetic progression is 27 and their product is 504. Find the largest of these three terms.
Q5 · Arithmetic Progression · EASY
The 10th term of the arithmetic progression 7, 11, 15, 19, ... is: