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rusak2 [61]
3 years ago
12

5. Is the sequence arithmetic? If so, identify the common difference.

Mathematics
2 answers:
HACTEHA [7]3 years ago
6 0
5.
aritmetic is same increase per term
14 to 21 is 7
21 to 42 is 21
7≠21
no


6.
decreases by 4 each time
an=a1+d(n-1)
an=10-4(n-1)
n=12 for 12th term
a12=10-4(12-1)
a12=10-4(11)
a12=10-44
a12=-34

it is -34



7.
missing term is y
22+n=y
y+n=34
22+n+n=34
22+2n=34
minus 22 from both sides
2n=12
divide both sides by 2
n=6
22+n=y
22+6=y
28=y

28 is answer



5. no
6. -34
7. 28
DerKrebs [107]3 years ago
4 0

Answer:

5. The correct option is 4. No, the given sequence is not arithmetic.

6.The option 3 is correct and the 12th term of the sequence is -34.

7. The option 3 is correct and the missing term of the arithmetic sequence is 28.

Step-by-step explanation:

5.

The given sequence is

14,21,42,77

d_1=a_2-a_1=21-14=7

d_2=a_3-a_2=42-21=21

Since d_1\neq d_2, therefore it is not an arithmetic sequence. Option 4 is correct.

6.

The given sequence is

10,6,2,...

First term is 10 and common difference is -4.

The formula for nth term is

a_n=a+(n-1)d

a_{12}=10+({12}-1)(-4)=10-44=-34

Therefore option 3 is correct and the 12th term of the sequence is -34.

7.

The given sequence is

22, ___ , 34, ...

In an arithmetic sequence

2b=a+c

2b=22+34

2b=56

b=28

Therefore option 3 is correct and the missing term of the arithmetic sequence is 28.

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Solve:7 +42-32-32 = 14.3-2a +7<br> A = -3<br> A= 0<br> A= 3<br> no solution
madreJ [45]

Answer:

a = 18.15

Step-by-step explanation:

7+42-32-32=14.3-2a+7

Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.

Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)

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After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.

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Get -2a alone by subtracting 21.3 from both sides.

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Divide both sides by -2.

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In this equation, a should equal \boxed{18.15}.

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