Question

1.) The sequence of even numbers without a 1 and 2 in them, find the 20th term.
a. 42
b. 43
c. 44
2.) Starting at 8, add 9 to each term. What is the 17th term? *
a. 151
b. 152
c. 153
3.) Each term is triple the previous term decreased by 4. If the first term is 5, what is the 38th term? *
a. 1,350,851,717,672,992,090
a. 1,350,851,717,672,992,091
a. 1,350,851,717,672,992,092
Patulong po kailangan ko na po kasi eh sana po masagot nyo po

Answer 1

1) The sequence of even numbers without 1 and 2 in them, find the 20th term.

a. 42

b. 43

c. 44

Answer :-

→ first term = 4

→ common difference = 2

→ n = 20

so,

→ T(n) = a + (n - 1)d

→ T(20) = 4 + (20 - 1)2

→ T(20) = 4 + 19 * 2

→ T(20) = 4 + 38

→ T(20) = 42 (a)

2.) Starting at 8, add 9 to each term. What is the 17th term? *

a. 151

b. 152

c. 153

Answer :-

→ First term = 8

→ common difference = 9

→ n = 17

so,

→ T(n) = a + (n - 1)d

→ T(17) = 8 + (17 - 1)9

→ T(17) = 8 + 16 * 9

→ T(17) = 8 + 144

→ T(17) = 152 (b)

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