हिंदी

Find 11th Term of the A.P. 10.0, 10.5, 11.0, 11.5, ... - Mathematics

Advertisements
Advertisements

प्रश्न

Find 11th term of the A.P. 10.0, 10.5, 11.0, 11.5, ...

उत्तर

11th term of the A.P. 10.0, 10.5, 11.0, 11.5, ...

Here

First term (a) = 10.0

Common difference of the A.P. (d) = 10.5 - 10.0

= 0.5

Now, as we know,

`a_n = a + (n - 1)d`

So for 11 th term

`a_11 = a + (11 - 1)d`

`= 10.0 + (10)(0.5)`

= 10.0 - 5.0

= 15.0

Therefore  the 11th term of the given A.P is `a_11 = 15.0`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithmetic Progression - Exercise 5.4 [पृष्ठ २४]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
Exercise 5.4 | Q 1.6 | पृष्ठ २४

संबंधित प्रश्न

If `S_5 = 15` and `S_6 = 21`, Find `t_6`.


For the following arithmetic progressions write the first term a and the common difference d:

 −5, −1, 3, 7, ...


If x + 1, 3x and 4x + 2 are in A.P., find the value of x.


The first term and the common difference of an A. P. is 10,000 and
2000 resectively. Find the sum of first 12 terms of the A.P.


Find the common difference of the A.P. and write the next two terms 75, 67, 59, 51, ...


Check whether the following sequence is in A.P.

9, 13, 17, 21, 25, ...


If nine times ninth term is equal to the fifteen times fifteenth term, show that six times twenty fourth term is zero


If 3 + k, 18 – k, 5k + 1 are in A.P. then find k


Which of the following form an AP? Justify your answer.
0, 2, 0, 2,...


Case Study

Push-ups are a fast and effective exercise for building strength. These are helpful in almost all sports including athletics. While the push-up primarily targets the muscles of the chest, arms, and shoulders, support required from other muscles helps in toning up the whole body.


Nitesh wants to participate in the push-up challenge. He can currently make 3000 push-ups in one hour. But he wants to achieve a target of 3900 push-ups in 1 hour for which he practices regularly. With each day of practice, he is able to make 5 more push-ups in one hour as compared to the previous day. If on first day of practice he makes 3000 push-ups and continues to practice regularly till his target is achieved. Keeping the above situation in mind answer the following questions:

  1. Form an A.P representing the number of push-ups per day and hence find the minimum number of days he needs to practice before the day his goal is accomplished?
  2. Find the total number of push-ups performed by Nitesh up to the day his goal is achieved.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×