Summative Test for Sequences

Which of the following is NOT an arithmetic sequence?

• 11, 2, -8, -19, . . .

• 4, 7, 10, 13, . . .

• 57, 51, 45, 39, . . .

• -3, -5, -7, -9, . . .

Find the next two terms of the sequence 8, 2, - 4, . . .

• -8, -12

• 10, 16

• -10, -16

• -6, -8

Which arithmetic sequence has d= - 8 and a₁₀ = - 45?

• 27, 19, 11, 3, . . .

• -8, -12, -16, -20, . . .

• -5, - 13, - 21, -29, . . .

• -27, - 18, -11, -3, . . .

If three arithmetic mean are inserted between 11 and 39, find the second arithmetic mean.

• 18

• 25

• 32

• 46

A culture of bacteria doubles every 2 hours. If there are 500 bacteria at the beginning, how many bacteria will there be after 24 hours?

• 1 024 000

• 2 048 000

• 8 388 000

• 4 194 000

What is k so that k - 3, k + 2, k + 3 form a geometric sequence?

• -⅕

• ⅕

• -13/4

• 13/4

Find the sum to infinity of 1, 0.2, 0.04, 0.008, . . .

• 0.2

• 1.666...

• 1.25

• 1.5

What is the tenth term of a geometric sequence with 32 as the fourth term and 2 as the common ratio?

• 2 048

• 2 058

• 1 024

• 1 034

What is the sum of all the even integers between 9 and 27?

• 144

• 162

• 170

• 180

Ramilo is the track and field representative of the Maginoo High School for the Palarong Pambansa. He begins training by running 5 miles during the first week, 6.5 miles during the second week, and 8 miles on the third week. Assume this pattern continues, how far will he run on the tenth

week?

• 18.5 miles

• 20 miles

• 21.5 miles

• 23 miles