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My name is Ann [436]
3 years ago
13

In a certain arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Mathematics
2 answers:
MAXImum [283]3 years ago
5 0

Answer:

157 is the 24th term

Step-by-step explanation:

The formula for arithmetic sequences is an=a1+(n-1)d,

where an is the nth term, a1 is the first term, n is the term position, and d is the common difference

First, we need to find the common difference using the 10.

Since it's the third term, we have 10=-4+(3-1)d

Solving for d gives us d=7

Next, we need to find the term number of 157

Thus, we have 157=-4+(n-1)*7

Solving for n gives us n=24

We can check it like this: Following order of operations (i.e. PEMDAS) gives us 24-1=23*7=161-4=157

likoan [24]3 years ago
4 0

Answer:

a₁₅₇ = 1,088

Step-by-step explanation:

aₙ = a₁ + d(n-1); where 'd' if common difference

a₁₅₇ = -4 + 7(156)

      = -4 + 1092

      = 1,088

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Help me pleaseee (10 points )
Gemiola [76]

Answer:

m<T = , m<M =  and m<Z =

Step-by-step explanation:

From the given ∆TMZ, let the measure angle T be represented by T.

So that,

m<M = 2T + 6°

m<Z = 5T - 50°

Sum of angles in a triangle =

T + (2T + 6°) + (5T - 50°) =

8T - =

8T =  +

   =

T =

  =

Therefore,

i. m<T =

ii. m<M = 2T + 6°

       = 2 x  + 6°

       =

m<M =

iii. m<Z = 5T - 50°

           = 5 x  - 50°

           =  - 50°

           =

m<Z =

5 0
2 years ago
Why do banks give out there credit cards easily and offer to reward tgem
Masteriza [31]

Answer:

If the cardholder has a participating cash back rewards program, the credit card issuer simply shares some of the merchant fees with the consumer. The goal is to incentivize people to use their credit cards when making payments rather than cash or debit cards, which earns them no rewards.

Step-by-step explanation:

7 0
2 years ago
The shortest side of a right triangle measures 13 m. the lengths of the other two sides are consecutive integers. Find the lengt
mariarad [96]
So, the shortest side is 13, the other two fellows are two consecutive values.... ok... let's say the other leg is "a", a consecutive value to that will be a+1, so the hypotenuse is "a + 1" then

check the picture below

and surely you'd know what "a" is

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3 years ago
Determine the slope between the points (-3, 0) and (0, 5)
Alex787 [66]
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3 years ago
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-5 times what = 25....
Korolek [52]
-5 times -5= 25
because the negative times negative=positive
8 0
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