Write Terms of a Geometric Sequence
-$$\mathrm { a } _ { 1 } = 7 ; \mathrm { r } = \frac { 1 } { 4 }$$
A) $7 , \frac { 7 } { 4 } , \frac { 7 } { 16 } , \frac { 7 } { 64 } , \frac { 7 } { 256 }$
B) $7,28,112,448,1792$
C) $\frac { 7 } { 4 } , \frac { 7 } { 16 } , \frac { 7 } { 64 } , \frac { 7 } { 256 } , \frac { 7 } { 1024 }$
D) $7 , \frac { 29 } { 4 } , \frac { 15 } { 2 } , \frac { 31 } { 4 } , 8$

Question

Quizplus · Accepted Answer

The terms of a geometric sequence are found by starting with the first term and multiplying by the common ratio $r$ for each subsequent term. Given $a_1 = 7$ and $r = \frac{1}{4}$, the sequence is $7, 7 \times \frac{1}{4}, 7 \times (\frac{1}{4})^2, 7 \times (\frac{1}{4})^3, 7 \times (\frac{1}{4})^4$, which simplifies to $7, \frac{7}{4}, \frac{7}{16}, \frac{7}{64}, \frac{7}{256}$.

Write Terms of a Geometric Sequence - a1=7;r=14\mathrm { a } _ { 1 } = 7 ; \mathrm { r } = \frac { 1 } { 4 }a1​=7;r=41​

Write Terms of a Geometric Sequence
- $\mathrm { a } _ { 1 } = 7 ; \mathrm { r } = \frac { 1 } { 4 }$