LEAP 2025 Algebra I Chapter 16

DOK: 2
1 pt

3.

Which of the following arithmetic series has a sum of 105?

A

the first 7 terms of 5 + 2(n − 1)

B

the first 7 terms of 7 + 2(n − 1)

C

the first 7 terms of 9 + 2(n − 1)

D

the first 7 terms of 11 + 2(n − 1)

DOK: 2
1 pt

5.

Find the formula for the geometric sequence 3, 6, 12, 24, . . .

A

${t}_{n}=3{\left(4\right)}^{n-1}$

B

${t}_{n}={\left(2\right)}^{n-1}$

C

${t}_{n}=3{\left(2\right)}^{n-1}$

D

${t}_{n}={\left(4\right)}^{n-1}$

DOK: 2
1 pt

7.

Define the following sequences as a function and find the next term in the sequence. 19, 27, 35, 43 . . .

A

$f\left(n\right)=f\left(n-1\right)+19;50$

B

$f\left(1\right)=19,f(n+1)=f\left(n\right)+8,n\ge 2;51$

C

$f(n+1)=f\left(n\right)-8;35$

D

$f\left(1\right)=19,f\left(n\right)=19+8n;51$