Answer:
See below
Step-by-step explanation:
<u>Recursive Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the preceding term
- represents the common difference
<u>Explicit Formula for Arithmetic Sequences</u>
- <u />
- represents the nth term
- represents the 1st term
- represents the common difference
<u>Ernest's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Ernest swims 0.25 more kilometers than the preceding one. Therefore, the recursive formula for Ernest is
<u>Ernest's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Ernest is
<u />
<u>Denise's Schedule Recursive Formula</u>
We can see that the common difference is because for each week, Denise swims 0.5 more kilometers than the preceding one. Therefore, the recursive formula for Denise is
<u>Denise's Schedule Explicit Formula</u>
Given our common difference from earlier and the fact that is our first term, the explicit formula for Denise is
Answer: The first rule: am × an = am+n. 3. 3. The second rule: (am)n = amn. 3. 4. The third ... three a's at the bottom can be divided out, so we are now left with a4. 1 that is a4. The same answer is obtained by subtracting the indices, that is, 7 − 3=4.
Step-by-step explanation:
Answer:
141
Step-by-step explanation:
141
80% of 5 is 4. That is the final and simplest answer.
The measure of the angles A, B and C are 43°, 43° and 94° respectively.
Step-by-step explanation:
- Step 1: From the given details, form equations. Let ∠A and ∠B be x°.
⇒ ∠C = 51° + x°
- Step 2: Sum of angles of a triangle is 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ x + x + 51 + x = 180
⇒ 3x + 51 = 180
⇒ 3x = 129
⇒ x = 43°
⇒ x + 51 = 94°