NCERT Class 11-Math's: Chapter –9 Sequence and Series Part 14
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Fill in the Blanks in the Exercises 27 to 29
Question 27:
For a, b, c to be in G.P. the value of is equal to.............. .
Answer:
Question 28:
The sum of terms equidistant from the beginning and end in an A.P. is equal to ............. .
Answer:
Question 29:
The third term of a G.P. is 4, the product of the first five terms is ................ .
Answer:
State whether statement in Exercises 30 to 34 are True or False.
Question 30:
Two sequences cannot be in both A.P. and G.P. together.
Answer: False
Question 31:
Every progression is a sequence but the converse, i.e., every sequence is also a progression need not necessarily be true.
Answer: True
Question 32:
Any term of an A.P. (except first) is equal to half the sum of terms which are equidistant from it.
Answer: True
Question 33:
The sum or difference of two G.P.s, is again a G.P.
Answer: False
Question 34:
If the sum of terms of a sequence is quadratic expression then it always represents an A.P.
Answer: False
Match the questions given under Column I with their appropriate answers given under the Column II.
Question 35:
Column I | Column II | ||
(a) | (i) | A.P. | |
(b) | (ii) | Sequence | |
(c) | (iii) | G.P. |
Answer:
(a) ↔ (iii)
(b) ↔ (i)
(c) ↔ (ii)
Question 36:
Column I | Column II | ||
(a) | (i) | ||
(b) | (ii) | ||
(c) | (iii) | ||
(d) | (iv) |
Answer:
(a) ↔ (iii)
(b) ↔ (i)
(c) ↔ (ii)
(d) ↔ (iv