Find the next three terms of each sequences of each sequence. Next to the problem, describe the pattern in words.
Problem 1 :
4, -16, 64, -256, 1024,…
A) -1024, 4096, -16384 B) -4096, -16384, -65536
C) - 4096, 16384, -65536 D) -1024, -4096, -16384
Problem 2 :
1, 5, 25, 125, 625,…
A) 6250, 31250, 156250 B) 3125, 15625, 78125
C) 2/3125, 2/15625, 2/78125 D) 2/625, 2/3125, 2/15625
Problem 3 :
4, 16, 36, 64, 100,…
A) 144, 196, 281 B) 144, 196, 256
C) 164, 196, 307 D) 144, 196, 300
Problem 4 :
4, -12, 36, -108, 324,…
A) -972, -2916, -8748 B) -972, 2916, -8748
C) -4/243, 4/729, -4/2187 D) -4/243, -4/729, -4/2187
Problem 5 :
1, 9, 25, 49, 81,…
A) 121, 169, 225 B) 121, 193, 225
C) 140, 160, 225 D) 167, 160, 225
1) -4096, 16384, -65536
2) 3125, 15625, 78125.
3) 144, 196, 256.
4) -972, 2916, -8748.
5) 121, 169, 225.
Problem 1 :
A GP has a common ratio of 0.65. Its sum to infinity is 120. What is the first term?
Problem 2 :
Another GP has 2.8 as its first term and its sum to infinity is 3.2. Find its common ratio.
Problem 3 :
Find the sum of the products of the corresponding terms of the sequences 2, 4, 8, 16, 32 and 128, 32 ,8, 2, 1/2.
Problem 4 :
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
Problem 5 :
We know the sum of the interior angles of a triangle is 180º. Show that the sums of the interior angles of polygons with 3, 4, 5, 6, … sides form an arithmetic progression. Find the sum of the interior angles for a 21 sided polygon.
1) a = 42
2) r = 0.125
3) 496
4) 2046
5) a19 = 3420
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM