Advertisements
Advertisements
प्रश्न
If tn = 2n – 5 is the nth term of an A.P., then find its first five terms.
Advertisements
उत्तर
tn = 2n – 5 ...[Given]
∴ t1 = 2(1) – 5
= 2 – 5
= –3
t2 = 2(2) – 5
= 4 – 5
= –1
t3 = 2(3) – 5
= 6 – 5
= 1
t4 = 2(4) – 5
= 8 – 5
= 3
t5 = 2(5) – 5
= 10 – 5
= 5
∴ The first five terms of A.P. are –3, –1, 1, 3, 5.
APPEARS IN
संबंधित प्रश्न
Find the sum of the following arithmetic series:
`7 + 10 1/2 + 14 + ... + 84`
Find the sum of the following arithmetic series:
(–5) + (–8) + (–11) + ... + (–230)
Given Arithmetic Progression 12, 16, 20, 24, . . . Find the 24th term of this progression.
Find the 27th term of the following A.P.
9, 4, –1, –6, –11,...
Six year before, the age of mother was equal to the square of her son's age. Three year hence, her age will be thrice the age of her son then. Find the present ages of the mother and son.
Select the correct alternative and write it.
If a share is at premium, then -
If the sum of first n terms of an AP is n2, then find its 10th term.
How many multiples of 4 lie between 10 and 205?
Find t5 if a = 3 and d = –3.
Decide whether the given sequence 24, 17, 10, 3,...... is an A.P.? If yes find its common term (tn).
12, 16, 20, 24,...... Find 25th term of this A.P.
In an A.P. if the sum of third and seventh term is zero. Find its 5th term.
Write the next two terms of the A.P.: `sqrt(27), sqrt(48), sqrt(75)`......
What is the formula for the nth (general) term of an arithmetic progression?
In the nth term formula \( t_{n} = a + (n - 1)d \), what does the symbol \( d \) represent?
Meera asked for 10 gold coins in the first month, doubling the amount every month. What is Meera's salary in the \( 12^{th} \) month?
For Meera's salary pattern \( 10, 20, 40, 80, \ldots \), what is the common ratio shown by consecutive terms?
