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scZoUnD [109]
3 years ago
14

What is the common difference between successive terms in the sequence?

Mathematics
1 answer:
jonny [76]3 years ago
5 0

Answer:

0.1

Step-by-step explanation:

0.36-0.26=0.1

hope u understand

You might be interested in
Strontium-90 has a half-life of 28.8 years. If you start with a 300-gram sample of strontium-90,
Kazeer [188]

Answer:  2.66 × 10⁻¹³

<u>Step-by-step explanation:</u>

First, use the decay formula   A=A_oe^{kt}   where

  • A is the final amount (amount left)
  • A₀ is the initial amount (amount you started with)
  • k is the rate of decay (you need to solve for this)
  • t is the time

Given:

  • A = 1/2(300) = 150
  • A₀ = 300
  • k = unknown
  • t = 28.8

150=300e^{28.8k}\\\\0.5=e^{28.8k}\\\\ln(0.5)=ln(e^{28.8k})\\\\ln(0.5)=28.8k\\\\\\\dfrac{ln(0.5)}{28.8}=k\\\\\\\large\boxed{-0.0240676=k}\\

Next, input the k-value and the new t-value to solve for A.

  • A = unknown
  • A₀ = 300
  • k = -0.0240676
  • t = 1440

A=300e^{1440(-.0240676)}\\\\\large\boxed{A=2.66\times 10^{-13}}\\

5 0
3 years ago
Plz help asap thank you​
attashe74 [19]

Answer:

Solved using the <u>Exterior angle theorem</u>.

2x-5+x-17 = 128

3x-22 = 128

3x = 150

x = 50

8 0
2 years ago
Hamburger is on sale for 20% off the normal $3.70 price. How much can you save per pound by buying the meat on sale? Explain you
Nitella [24]

Answer:

$0.75

Step-by-step explanation:

Given

Normal price - $3.70

If Hamburger is on  sale for 20% off the normal price

The amount that can be saved will  be 20% of $3.70

Amount that can be saved = 20/100 * 3.70

Amount that can be saved  = 1/5 * 3.70

Amount that can be saved  = 3.7/5

Amount that can be saved  = 0.75

Hence the Amount that can be saved on $3.70 is $0.75

3 0
2 years ago
Mr. Abaya goy P700,000 loan for the expansion of his business payable monthly in 4years. How much os the monthly amortization if
Vaselesa [24]

The monthly amortization is P23,511.63

<h2>Compound interest</h2>

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^t

whrere:

  • P is the principal = P700,000
  • r is the rate = 12% = 0.12
  • t is the time = 4 years
  • n = 12

Substitute the parameters

A = 700000(1+0.12/12)^{4(12)}\\&#10;A = 700,000(1.01)^{48}\\&#10;A =1,128,558.25

Calculate the monthly payment:

Monthly payment = \frac{1,128,558.25}{48} =23,511.63

Hence the monthly amortization is P23,511.63

Learn more on compound interest here: brainly.com/question/24924853

8 0
2 years ago
HELP PLEASE 21 POINTS PLEASE HELP ME!!!! &lt;3
Anna007 [38]

1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

First term (a₁):  <u> -39  </u>          Common difference (d): <u> +10  </u>

Explicit rule:  a_{n} = -49 + 10n    Recursive rule: a_{n} = a_{n-1} + 10

a_{n} = a_{1} + d(n - 1)

a_{n} = -39 + 10(n - 1)

a_{n} = -39 + 10n - 10

a_{n} = -49 + 10n

***********************************************************************************

3)

n         1          2         3           4         5         6

f(n)   3.75      2.5     1.25        0      -1.25     -2.5

First term (a₁):  <u> 3.75  </u>          Common difference (d): <u> -1.25  </u>

Explicit rule:  a_{n} = 5 - 1.25n    Recursive rule: a_{n} = a_{n-1} - 1.25

a_{n} = a_{1} + d(n - 1)

a_{n} = 3.75 - 1.25(n - 1)

a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


6 0
3 years ago
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