Question

Graph the six terms of a finite sequence where a1=5 and r=1.25

Answer 1

$\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} a_1=\textit{first term}\\ n=n^{th}\ term\\ r=\textit{common ratio} \end{cases}$

$\bf -----------------------------\\ \begin{array}{ccllll} term&value\\ x&y\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 1&5\cdot (1.25)^{1-1}\\ 2&5\cdot (1.25)^{2-1}\\ 3&5\cdot (1.25)^{3-1}\\ 4&5\cdot (1.25)^{4-1}\\ 5&5\cdot (1.25)^{5-1}\\ 6&5\cdot (1.25)^{6-1}\\ \end{array}$

Answer 2

Answer:Given below

Step-by-step explanation:

Given

a=5

common ratio(r)=1.25

therefore next term is $ar,ar^2.......$

$a_2=ar=5\times 1.25=6.25$

$a_3=ar^2=5\times 1.25^2=7.8125$

$a_4=ar^3=5\times 1.25^3=9.765$

$a_5=ar^4=5\times 1.25^4=12.207$

$a_6=ar^5=5\times 1.25^5=15.258$