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Marrrta [24]
3 years ago
12

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7. What is the common difference of the arithmetic

sequence? The common difference is
Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer:

the common difference = 1.5

Step-by-step explanation:

The seventh term of an arithmetic sequence is 10.2 and the twelfth term is 17.7

a7 = 10.2

a12= 17.7

Use the formula for nth term

a_n= a_1+(n-1)d

where 'd' is the common difference

n is the number of terms

a1 is the first term

a_7= a_1+(7-1)d

10.2= a_1+6d  ---> equation 1

a_12= a_1+(12-1)d

17.7= a_1+11d  -------------> equation 2

Subtract equation 2 - equation 1

17.7= a_1+11d

10.2= a_1+6d

---------------------------------------

  7.5 = 5d

divide by 5 on both sides

d= 1.5

So the common difference = 1.5

marshall27 [118]3 years ago
3 0
7 = 10.2
12 = 17.7
Let's take 
d = 17.7 - 10.2/ 12 - 7
d =  7.5/ 5
d = 1.5
The common difference is 1.5

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Answer:

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Step-by-step explanation:

If Brock shoots 50 penalty kicks and the probability that he scores a penalty kick is 3/10, the number of goal brock is expected to make can be expressed as:

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3 years ago
ohan found that the equation –2|8 – x| – 6 = –12 had two possible solutions: x = 5 and x = –11. which explains whether his solut
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3 years ago
If x&lt; 0 and y&lt;0 where is the point (x,y) located
Phoenix [80]

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Step-by-step explanation:

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2 years ago
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3 years ago
What is −4(−5x+2)−3x−5= -30
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Answer:

x = -1

Step-by-step explanation:

Step 1: Write equation

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Step 2: Solve for <em>x</em>

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3 0
3 years ago
Read 2 more answers
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