The formula of nth term is = 10 - 3n
What is AP?
- A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms. Take the numbers 5, 7, 9, 11, 13, and 15 as an example. . . is a sequence of numbers having a common difference of two.
- The n-th term of the sequence is given by:, if the beginning term of an arithmetic progression is and the common difference between succeeding members is, then
- If the AP contains m phrases, then denotes the final term, which is given by:
- The term "finite arithmetic progression" or "arithmetic progression" refers to a finite segment of an arithmetic progression. An arithmetic series is the total of a finite arithmetic progression.
Acc to our question-
- For the nth term in an algebraic series
- U(n) = a + (n - 1)d
- the number of terms is n.
- The first term is a.
- d is the typical difference
- From the preceding sequence
- a = 7
- d = 4 - 7 = - 3
- The nth term's formula is
- U(n) = 7 + (n - 1)-3
- = 7 - 3n + 3
- The ultimate solution is
- = 10 - 3n
Hence,The formula of nth term is = 10 - 3n
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Answer:
(1, 3), (2, 4).
Step-by-step explanation:
y= x² - 4x + 6
y = x + 2
Substitute for y in the first equation:
x + 2 = x²- 4x + 6
x^2 - 5x + 4 = 0
(x - 1)(x - 4) = 0
x = 1, 4
When x = 1 , y = 1 + 2 = 3.
When x = 4, y = 4 + 2 = 6.
Answer:
C
Step-by-step explanation:
Using the pythagorean theorem, we can determine if these are right triangles or not.
equation: sqrt a^2+b^2=c
this means the square root of the two shortest sides squared must equal to the largest side, (the hypotenuese).
Work for C:
Squareroot of 32^2 + 24^2 = 40cm
The answer is ctually 44
68-2 (3x1)4
68-2x3x4
68-24
44
