kindly give the solution for all

need solution on every question

Exercise No. 2

Directions: Read following problem and answer the questions that follow.

ACTIVE LIVING

Alex is a very athletic person. He usually joins fun

runs and marathons. Unfortunately, he got injured in one

of his events when his ankle got twisted. He was told to

take some rest and was advised to return to his jogging

program slowly.

In the program, he needs to jog for 15 minutes

each day for the first week, then an increase of 7 minutes

per day on the succeeding weeks. The jogging program

requires Alex to jog within the specified time for the

coming weeks so he can gradually recover from his

injury.

Training Program Week 1 Wk 2 Wk 3 Wk 4 Wk 5 Wk 6 Wk 7

Required no. of

minutes 15 min

What is the required number of minutes in week 2, 3, 4, 5, 6, & 7? Need Solution

1. The amount of time required of him can be presented using a table. Can you

supply the number of minutes required of Alex to jog for the coming weeks?

2. Does it form a sequence?

3. Is there any pattern?

4. How many minutes does Alex have to jog on the 10 th week of the program?

5. How were you able to solve for the number of minutes Alex have to jog on the

10th week of the program? Show your solution.

Exercise No. 3

A. Directions: Given the rule for the nth term of the arithmetic sequence, find the first 4 terms. (NEED SOLUTION)

General Term

1. a_{n = 3n + 5}
2. a_n = n - 4
3. a_n = -4n + 3
4. a_n =5n + 6
5. a_n= 8n - 7

B. Directions: Given the following arithmetic sequences, solve for the common difference, and then find the indicated term. (need solution for common diff and 14th term)

Common Difference = d

Arithmetic Sequence Indicated Term Common Difference

1. 5, 16, 27, 38, 49, 60, ... 14 th term: _______ d:______

2. 13, 9, 5, 1, -3, -7, -11, ... 18 th term: _______ d:______

3. -12, -15, -18, -21, ... 23 rd term: _______ d:______

4. -4, 0, 4, 8, ... 50 th term: _______ d:______

5. 1, 18, 35, ... 72 nd term: _______ d:______

C. Directions: Insert the indicated number of arithmetic means between the pairs of numbers.

Pair of Numbers Number of Arithmetic Means

1. -11 and -2 | 2 arithmetic means

2. 3 and 11 | 3 arithmetic means

3. 14 and 19 | 4 arithmetic means

4. -15 and -5 | 3 arithmetic means

5. 2/3 (this is a fraction) and 92/3 (this is also a fraction) | 5 arithmetic means

What is the arithmetic sequence of:

no.1, no.2, no.3, no.4, no.5 ?

Insert the Indicated number of arithmetic means

1. -11,____, _____, -2
2. 3, ____, _____, _____, 11
3. 14, ___, ____, ____, ____, 19
4. -15, ____, ____, ____, -5
5. 2/3 (fraction) , ___, ____, ____, ____, ____, 92/3 (fraction)