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2 years ago

Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16,

Mathematics

2 answers:

Sunny_sXe [5.5K]2 years ago

6 0

Answer:

Step-by-step explanation:

This arithmetic sequence starts at 1 and increases by 5 every time. The formula for this sequence could be expressed as A(n) = 1 + 5(n-1).

Since you're finding the 15th term, substitute n = 15 into the formula.

A(15) = 1 + 5((15)-1) = 1 + 5(14) = 1 + 70 = 71

Nataly [62]2 years ago

4 0

Answer: 71

Step-by-step explanation:

Every time the number in the sequence increases, it adds 5.

1. 1

2. 1+5=6

3. 6+5=11

4. 11+5=16

5. 16+5=21

6. 21+5=26

7. 26+5=31

8. 31+5=36

9. 36+5=41

10. 41+5=46

11. 46+5=51

12. 51+5=56

13. 56+5=61

14. 61+5=66

15. 66+5=<em><u>71</u></em>

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What is the measure of the unknown angle?

worty [1.4K]

The measure of the unknown angle in the full circle is calculated as: 310 degrees.

<h3>What is the Measure of a Full Circle?</h3>

The angle measure of a full circle equals 360 degrees.

The full circle given is divided into two angles, of which 50 degrees is a measure of one of the angles.

The unknown angle = 360 - 50 = 310 degrees.

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7 0

1 year ago

Fraction that is less than 5/6 and has a denominator of 8

Evgesh-ka [11]

See 5/6 is obviously more than 1/2 so 4/8 works
also 3/8 or 2/8 or 1/8

if you want all fractions then
5/6=x/8
times 24 both sides
20=3x
divide 3
6 and 2/3=x
basically x/8 such that x<6 and 2/3

examples
6/8
5/8
4/8
3/8
2/8
1/8
I would use the odd ones since the even ones simplify to non-eight denomenators

7 0

2 years ago

- QUIZ DUE TODAY -

Elena L [17]

Answer:

Step-by-step explanation:

$19.50

-$15.50=

$4.00

1slice of pizza and 1soda is $4

so 2slices of pizza and 2 sodas is $8

$15.50-$8=$7.50

Now you have 3 slices of pizza left

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1slice of pizza is $2.50

6 0

3 years ago

Read 2 more answers

Find the average rate of change of the function over the given interval.

Minchanka [31]

Answer:

Average rate of change = 20.2

Rate of change at the left endpoint : f' (5) = 4t = 20

Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4

Step-by-step explanation:

The average rate of change of the function

F(t) = 2t^2 - 1 , [ 5,5.1 ]

solution

$\frac{f(5.1)-f(5)}{5.1 - 5}$ = $\frac{2*(5.1)^2-1-(2*5^2-1)}{0.1}$ = [ 2 ( 26.01 - 25 ) / 0.1 ]

= 2.02 / 0.1 = 20.2

Rate of change at the left endpoint : f' (5) = 4t = 20

Rate of change at the right endpoint : f' (5.1) = 4*5.1 = 20.4

6 0

3 years ago

Can someone please help me with this asap ... Please and thank you

OLga [1]

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

∠MNR ≅ ∠PNR

m∠MNR + m∠PNR = 180°

2(m∠MNR) = 180°

m∠MNR = 90°

Therefore, ∠MNR and ∠PNR are the right angles.

Since, QN divides ∠MNR in two parts,

Therefore, ∠QNR will be an acute angle (less than 90°).

∠MNR + ∠SNR = ∠MNS

90° + ∠SNR = ∠MNS

Therefore, m∠MNS will be more than 90°.

∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

∠MNR ≅ ∠PNR

∠QNR ≅ ∠SNR

∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

Since, NR bisects ∠QNS,

∠QNR ≅ ∠RNS

m∠QNR = m∠RNS = 30°

m∠QNR + m∠RNS = 30° + 30°

m∠QNR + m∠RNS = 60°

m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

m∠QNP = m∠QNS + m∠SNP

m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

m∠QNP = 60° + (90° - 30°) = 120°

4 0

2 years ago