1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tresset [83]
3 years ago
9

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
You might be interested in
C+X=G <br>what is X?<br>this is a literal equation.​
Harlamova29_29 [7]

Answer:

x=g-c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How do I divide 301 divided by 7
lina2011 [118]

Answer:

43

Step-by-step explanation:

7 goes into 301 43 times

8 0
3 years ago
Read 2 more answers
During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each “eighth of
Ahat [919]

Step-by-step explanation:

ijsjnsns

jjwjwjwjhehwhwjwjwnwjwjwhhwhw

3 0
3 years ago
Brad walked a total of 7/8 of a mile. Brad walked 3/4 of a mile when it was raining. How far did Brad walk when it was sunny?
RideAnS [48]

Answer:

1/8

Step-by-step explanation:

assuming that the rest of what brad walked was sunny

7/8 - 6/8(3/4) = 1/8

4 0
3 years ago
ABC is isosceles with AB=AC=8 units and BC=6 units. D and E are midpoints of AB and BC respectively. Calculate the length of DE?
Allushta [10]
The triangle is drawn and is shown in the image attached with.

We get two similar triangles. Triangle ABC and Triangle ADE. Since the triangles are similar the ratio of their corresponding sides will be the same. 

D and E are the midpoints of AB and BC, therefore, AD and AE are both 4 units in length. Using the property of similar triangles, we can say:

AD : DE= AB : BC
AD = 4 units
AB = 8 units
BC = 6 units
DE = unknown = x units

So,

4 :x = 8 : 6 \\  \\ &#10; \frac{4}{x} = \frac{8}{6}  \\  \\ &#10;x=4* \frac{6}{8}=3 &#10;

Therefore, the length of DE will be 3 units

6 0
3 years ago
Other questions:
  • solve the problem make sure your answer is in simplest form and inproper fractions are expressed as mixed numbers 3/5 x 4/5 =
    10·2 answers
  • Which statement about the following equations is correct? y=2x+5 y=−2x+5 Select one: a. The equations are dependent because the
    5·1 answer
  • Multiply or divide as indicated. Y^-9•y^-8•y^10
    11·1 answer
  • Use the net as an aid to compute the surface area of the triangular prism. A) 112 m2 B) 136 m2 C) 160 m2 D) 184 m2
    10·2 answers
  • Please help with # 9
    10·1 answer
  • Using inductive​ reasoning, show that ​t(n​+1)=​t(n-​2)+​2t(n-​1)
    6·1 answer
  • Question below! Help!​
    7·1 answer
  • If |z| = 1, where z = x + yi ... find the real part of the number 1 / z-1??​
    7·1 answer
  • ILL GIVE BRAINLIEST
    10·1 answer
  • Solve for x,then find the measure of the angle given
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!