Since the topic is similar right triangles you need to think of the Pythagorean triples, for this problem use the 3-4-5 triplet ratio
1 and 4
All angles and sides are congruent:)
The next 3 terms would be: -14, -17, and -20 (the pattern is your -3 each time) the 100th term would be -279 i think because there is 93 spots left after the first 7 terms, so 93 x -3 = -279
Do you have a calculator? If you do then 7/8 is 0.875 and 8/9 is 0.8 recurring.
For 7/8 and 8/9 you need to find the LCM of the denominators which in this case is 72, multiple 7/8 by 9 and 8/9 by 8 (multiply the top and the bottom by the number). This gives 63/72 and 64/72. So 8/9 is bigger.
0.98 is 0.98/1 so if you multiply that by 8 even without a calculator you'll know that it will be more than 7 so the fraction itself is bigger than 7/8, and the same for 8/9.
So the sequence will be 7/8, 8/9, 0/98.
