Given:
The geometric sequence is:
To find:
The 9th term of the given geometric sequence.
Solution:
We have,
Here, the first term is:
The common ratio is:
The nth term of a geometric sequence is:
Where, a is the first term and r is the common ratio.
Substitute to find the 9th term.
Therefore, the 9th term of the given geometric sequence is 5103.
Answer:
The required equation is
Step-by-step explanation:
Consider the provided information.
Let P represent the number of pages left to read after t hours.
Shryia read a 480-page-long book cover to cover in a single session, at a constant rate. After reading for 1.5 hours, she had 402 pages left to read.
Total number of page Shryia read in 1.5 hours is:
480-402 = 78
It is given that the rate is constant i.e 1.5 hours,
Therefore, she read 78 pages in 1.5 hours.
She can read page per hour
The required equation is:
Where t represents the number of hours.
Use formula for difference of perfect cubes:
Consider expression You know that then
The quadratic trinomial cannot be factored anymore, so the expression has two factors and
Answer: correct choice is A.
Answer:
Step-by-step explanation:
Take integration both side (apply substitution for the left hand side, apply sin(2y) = 2 sin(y) cos(y) for the right hand side) you will have the condition.
Problem solved