The numbers form an arithmetic progression

MATHEMATICS · Subjective · CBSE · Mathematics · Arithmetic Progressions · Arithmetic Progressions

Problem

The numbers

150,\;147,\;144,\;\dots

form an arithmetic progression. (i) Which term of this progression is equal to

0

? Show all working. (ii) Find the 50th term. (iii) Verify that the sum of the first 100 terms of this progression is 50 times its 50th term.