Find the 10th term 3,15,75,375

Mathematics

1 answer:

vova2212 [387]2 years ago

5 0

Answer:

5859375

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

$a_{n}$ = $a_{1}$ $r^{n-1}$

where r is the common ratio and $a_{1}$ the first term

here r = $\frac{375}{75}$ = $\frac{75}{15}$ = $\frac{15}{3}$ = 5 and $a_{1}$ = 3, hence

$a_{10}$ = 3 × $(5)^{9}$ = 5859375

You might be interested in

What is the question of the line that passes through the point (-2,-2) and has a slope of 4. Plz someone answer

Studentka2010 [4]

Answer:y=4x+6

Step-by-step explanation:

We have the information that the slope is 4 and the line goes through the point (-2,-2). With this information, we can make a linear equation in a point slope form ( $y - y_{1}= m * (x - x_{1})$ , so the equation would be $y+2=4(x+2)$ , or simplified, $y+2=4x+8.$ in order to solve for y (to make it a slope-intercept equation), we must subtract 2 from both sides. This gives us the equation y=4x+6. Hope this helps!