## Problem 797

Which of the following represents an example of the Fibonacci sequence in nature?   Solution:- broccoli

## Problem 796

What is the first term of the Fibonacci sequence that is greater than 10?   Solution:-   13

## Problem 755

The  government, through a subsidy program, distributes 31,000,000. If each person or agency spends 65% of what is received, and 65% of this is spend, and so on, how much…

## Problem 741

Find the sum of the first 20 terms of the sequence: -1, 1, -1, 1, -1, …   Solution:-   Find  an  by using the explicit formula for geometric sequences: an…

## Problem 740

Write the geometric sequence that has four geometric means between 1and 1,024.   Solution:-   an and  a1  are given. Find the common ratio by using the explicit formula for geometric…

## Problem 739

Find the next term of the sequence: -600, 300, -150, …   Solution:-   Find the common ratio and multiply the previous term by that value. 75

## Problem 738

Find the sum of the first 25 terms of the arithmetic series: -5, -4, -3, -2, -1, …   Solution:-   Find an by using the explicit formula for arithmetic sequences: an…

## Problem 737

Find the sum of the first five terms of the arithmetic series: an = 2n +2.   Solution:-   Find a1 and  a5  and use the formula for the sum of an…

## Problem 736

Find the 100th term of the sequence: -4, -2, 0, 2, ….   Solution:-   Find the common difference and use the explicit formula for arithmetic sequences:  . an = a1 +…