tmua 2020 Q4

tmua · Uk · paper1 1 marks Geometric Sequences and Series Arithmetic-Geometric Sequence Interplay

The $1^{\text{st}}, 2^{\text{nd}}$ and $3^{\text{rd}}$ terms of a geometric progression are also the $1^{\text{st}}, 4^{\text{th}}$ and $6^{\text{th}}$ terms, respectively, of an arithmetic progression.
The sum to infinity of the geometric progression is 12.
Find the $1^{\text{st}}$ term of the geometric progression.
A $1$
B $2$
C $3$
D $4$
E $5$
F $6$

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The $1^{\text{st}}, 2^{\text{nd}}$ and $3^{\text{rd}}$ terms of a geometric progression are also the $1^{\text{st}}, 4^{\text{th}}$ and $6^{\text{th}}$ terms, respectively, of an arithmetic progression.

The sum to infinity of the geometric progression is 12.

Find the $1^{\text{st}}$ term of the geometric progression.

A $1$

B $2$

C $3$

D $4$

E $5$

F $6$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20