Advertisements
Advertisements
प्रश्न
If s = `"n"/(2)[2"a" + ("n" - 1)"d"]`, the n express d in terms of s, a and n. find d if n = 3, a = n + 1 and s = 18.
Advertisements
उत्तर
s = `"n"/(2)[2"a" + ("n" - 1)"d"]`
⇒ s = `"an" + ("n"("n" - 1)"d")/(2)`
⇒ s - `"an" = ("n"("n" - 1)"d")/(2)`
⇒ `((2"s" - 2"an")/("n"("n" - 1)))` = d
⇒ d = `(2)/("n"("n" - 1))("s" - "an")`
Given that n = 3, a = n + 1 and s = 18
Since
a = n + 1
⇒ a = 3 + 1
= 4
Substituting we get
⇒ d = `(2)/(3(3 - 1))(18 - (4)(3))`
⇒ d = `(2)/(3(2))(18 - 12)`
⇒ d = `(1)/(3)(6)`
⇒ d = 2.
APPEARS IN
संबंधित प्रश्न
The arithmetic mean M of the five numbers a, b, c, d, e is equal to their sum divided by the number of quantities. Express it as a formula.
Make a formula for the statement:"The reciprocal of focal length f is equal to the sum of reciprocals of the object distance u and the image distance v."
How many minutes are there in x hours, y minutes and z seconds.
Make a the subject of formula S = `"ut" + (1)/(2)"at"^2`
Make x the subject of formula `"a"x^2/"a"^2 + y^2/"b"^2` = 1
Make a the subject of formula S = `("a"("r"^"n" - 1))/("r" - 1)`
Make x the subject of the formula a = `1 - (2"b")/("cx" - "b")`. Find x, when a = 5, b = 12 and
Make x the subject of the formula y = `(1 - x^2)/(1 + x^2)`. Find x, when y = `(1)/(2)`
The pressure P and volume V of a gas are connected by the formula PV = C; where C is a constant. If P = 4 when V = `2(1)/(2)`; find the value of P when V = 4?
The total energy E possess by a body of Mass 'm', moving with a velocity 'v' at a height 'h' is given by: E = `(1)/(2) "m" "u"^2 + "mgh"`. Find m, if v = 2, g = 10, h = 5 and E = 104.
