मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative:The value of the series 12+74+138+1916+... is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:
The value of the series `1/2 + 7/4 + 13/8 + 19/16 + ...` is

पर्याय

  • 14

  • 7

  • 4

  • 6

MCQ
Advertisements

उत्तर

14

shaalaa.com
Infinite Sequences and Series
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Binomial Theorem, Sequences and Series - Exercise 5.5 [पृष्ठ २३३]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 5 Binomial Theorem, Sequences and Series
Exercise 5.5 | Q 16 | पृष्ठ २३३

संबंधित प्रश्‍न

Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid

`1/(5 + x)`


Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid

`2/(3 + 4x)^2`


Expand the following in ascending powers of x and find the condition on x for which the binomial expansion is valid

`(5 + x^2)^(2/3)`


Find `root(3)(10001)` approximately (two decimal places


Prove that `root(3)(x^3 + 6) - root(3)(x^3 + 3)` is approximately equal to `1/x^2` when x is sufficiently large


Write the first 6 terms of the exponential series
e5x 


Write the first 4 terms of the logarithmic series
log(1 – 2x) Find the intervals on which the expansions are valid.


If y = `x + x^2/2 + x^3/3 + x^4/4  ...`, then show that x = `y - y^2/(2!) + y^3/(3!) - y^4/(4) + ...`


If p − q is small compared to either p or q, then show `root("n")("p"/"q")` `(("n" + 1)"p" + ("n" - 1)"q")/(("n"- 1)"p" +("n" + 1)"q")`. Hence find `root(8)(15/16)`


Find the coefficient of x4 in the expansion `(3 - 4x + x^2)/"e"^(2x)`


Find the value of `sum_("n" = 1)^oo 1/(2"n" - 1) (1/(9^("n" - 1)) + 1/(9^(2"n"- 1)))`


Choose the correct alternative:
The coefficient of x8y12 in the expansion of (2x + 3y)20 is


Choose the correct alternative:
If a is the arithmetic mean and g is the geometric mean of two numbers, then


Choose the correct alternative:
The sum up to n terms of the series `1/(sqrt(1)  +sqrt(3)) + 1/(sqrt(3) + sqrt(5)) + 1/(sqrt(5) + sqrt(7)) + ...` is 


Choose the correct alternative:
The sum of an infinite GP is 18. If the first term is 6, the common ratio is


Choose the correct alternative:
The coefficient of x5 in the series e-2x is


Choose the correct alternative:
The value of `1/(2!) + 1/(4!) + 1/(6!) + ...` is


Choose the correct alternative:
The value of `1 - 1/2(2/3) + 1/3(2/3)^2  1/4(2/3)^3 + ...` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×