हिंदी

If d = – 5, n = 10, an = 68, then find the first term. - Algebra

Advertisements
Advertisements

प्रश्न

If d = – 5, n = 10, an = 68, then find the first term.

विकल्प

  • 113

  • 23

  • – 113

  • – 23

MCQ

उत्तर

113

Explanation:

Given: d = – 5, n = 10, an = 68

Now, we know

an = a + (n – 1)d

68 = a + (10 – 1) (– 5)

68 = a + (9) ( – 5) = a – 45

a = 68 + 45

= 113

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2024-2025 (March) Model set 1 by shaalaa.com

संबंधित प्रश्न

For an A.P. t3 = 8 and t4 =12, find the common difference d.


Write the first three terms in each of the sequences defined by the following

an = 3n + 2


The nth term of a sequence is 3n – 2. Is the sequence an A.P. ? If so, find its 10th term


If the pth term of an A.P. is q and the qth term is p, prove that its nth term is (p + q – n)


If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that

(i) a (q – r) + b(r – p) + c(p – q) = 0

(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0


Find the common difference and write the next four terms of each of the following arithmetic progressions:

0, −3, −6, −9, ...


Prove that no matter what the real numbers a and are, the sequence with the nth term a + nb is always an A.P. What is the common difference?


Find the 18th term of the AP `sqrt2, 3sqrt2, 5sqrt2.....`


Find 8th term of the A.P. 117, 104, 91, 78, ...


Find the value of x for which (8x + 4), (6x − 2) and (2x + 7) are in A.P.


In an A.P., if the 12th term is −13 and the sum of its first four terms is 24, find the sum of its first ten terms ?


There is an auditorium with 27 rows of seats. There are 20 seats in the first row, 22 seats in the second row, 24 seats in the third row and so on. Find the number of seats in the 15th row and also find how many total seats are there in the auditorium?


Check whether the following sequence is in A.P.

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


Check whether the following sequence is in A.P.

`(-1)/3, 0, 1/3, 2/3, ...`


Find the first term and common difference of the Arithmetic Progressions whose nth term is given below

tn = 4 – 7n


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


Find the 12th term from the last term of the A.P – 2, – 4, – 6, … – 100


In an A.P. t10 = 57 and t15 = 87, then find t21 


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

11, 22, 33,...


Verify that the following is an AP, and then write its next three terms.

`0, 1/4, 1/2, 3/4, ...`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×