an sequence of +tive integers such that a n-1 * a n+1 = a n ^2 + 1 for all n>=2.if a 2 = 5
a 5 = 89,find a 7
@sujamait said:an sequence of +tive integers such that a n-1 * a n+1 = a n ^2 + 1 for all n>=2.if a 2 = 5a 5 = 89,find a 7
Is the question a(n-1)*a(n+1) = a(n^2+1) or a(n^2)+1 ?
Please clarify..thanks
@soumitrabengeri said:Is the question a(n-1)*a(n+1) = a(n^2+1) or a(n^2)+1 ?Please clarify..thanks
a(n-1)*a(n+1) = (an)^2+1
n a ka base types...
@sujamait said:a(n-1)*a(n+1) = (an)^2+1n a ka base types...
Thanks..but still can't figure out a way to solve this..please tag me when the solution is posted
@sujamait said:an sequence of +tive integers such that a n-1 * a n+1 = a n ^2 + 1 for all n>=2.if a 2 = 5a 5 = 89,find a 7
plz format the qstn properly
@sujamait said:yup!A box B1 has 299 identical cards. These cards are divided into three heaps and placed in boxes B1, B2 and B3 such that each box has at least one card. What is the probability that B1 has more cards than B2 and B3 put together?
74 / 297 ?
If |x-4|+|y-4| = 4, Then how many integer value can the set (x,y) have?
a) Infinite b)5 c)16 d)9 e)25
Please help me in this
@padmanabhan1989 said:If |x-4|+|y-4| = 4, Then how many integer value can the set (x,y) have?a) Infinite b)5 c)16 d)9 e)25Please help me in this
Solve it using graph. answer should be 16
@sujamait said:an sequence of +tive integers such that a n-1 * a n+1 = a n ^2 + 1 for all n>=2.if a 2 = 5a 5 = 89,find a 7
is it 610????
The odds in favour of India winning a match against Pakistan are 3 : 2. What is the probability that India wins the series of 3 matches if the probability of a tie is 0.2?
@padmanabhan1989 said:If |x-4|+|y-4| = 4, Then how many integer value can the set (x,y) have?a) Infinite b)5 c)16 d)9 e)25Please help me in this
graph bana le..
16
@ani4588 said:The odds in favour of India winning a match against Pakistan are 3 : 2. What is the probability that India wins the series of 3 matches if the probability of a tie is 0.2?
possible cases -
www
wwl
wwt
wtt
thus, 57 / 125 ?
probably missing something
wwl
wwt
wtt
thus, 57 / 125 ?
probably missing something
@ani4588 said:The odds in favour of India winning a match against Pakistan are 3 : 2. What is the probability that India wins the series of 3 matches if the probability of a tie is 0.2?
for india
3/5*2/10*2/10 + 3/5*3/5*2/10 + 3/5*3/5*2/5 + 3/5*3/5*3/5
24/1000 + 72/1000 + 144/1000 + 216/1000
0.456 india winning
0.544 india losing
for pakistan
2/5*2/5*2/5 + 2/5*2/5*3/5 + 2/5*2/5*2/10 + 2/5*2/10*2/10
64/1000 + 96/1000 + 32/1000 + 16/1000
0.208 pak winning
0.792 pak losing
@gs4890 said:possible cases - wwwwwlwwtwttthus, 57 / 125 ?probably missing something
mera bhi yehi aa rha he..pehle 500 tha na
@ani4588 said:@rkshtsurana i thnk ur missing one case...
4 cases
WTT , WWT, WWL , WWW aur kaunsa case he
Odds in favour of India wining = 3 : 2
Probability that India wins = 3/5 = 0.6
Probability of a tie = 0.2
Probability of Pakistan jeeta hai = 1 − 0.6 – 0.2 = 0.2
For India to win the
i) 3 wins for India
ii) 2 wins and 1 loss for India
iii) 2 wins for India and 1 tie
iv) 1 win for India and 2 ties
=>3 wins = 0.6 × 0.6 × 0.6 = 0.216
=>2 wins and 1 loss = 0.6 × 0.6 × 0.2 = 0.072
The two wins can come out of 3 matches in 3C2 ways = 3 ways
=> 2 wins and 1 tie = 0.6 × 0.6 × 0.2 = 0.072
The two wins can come out of 3 matches in 3C2 ways = 3 ways
Hence 2 wins and 1 tie = 3 × 0.072 = 0.216
=> 1 win and 2 ties = 0.6 × 0.2 × 0.2 = 0.024
The one win can come out of 3 matches in 3C1 ways = 3 ways
2 wins and 1 tie = 3 × 0.024 = 0.072
Total probability = 0.216 + 0.216 + 0.216 + 0.072 = 0.72
Probability that India wins = 3/5 = 0.6
Probability of a tie = 0.2
Probability of Pakistan jeeta hai = 1 − 0.6 – 0.2 = 0.2
For India to win the
i) 3 wins for India
ii) 2 wins and 1 loss for India
iii) 2 wins for India and 1 tie
iv) 1 win for India and 2 ties
=>3 wins = 0.6 × 0.6 × 0.6 = 0.216
=>2 wins and 1 loss = 0.6 × 0.6 × 0.2 = 0.072
The two wins can come out of 3 matches in 3C2 ways = 3 ways
Hence .... 3 × 0.072 = 0.216
=> 2 wins and 1 tie = 0.6 × 0.6 × 0.2 = 0.072
The two wins can come out of 3 matches in 3C2 ways = 3 ways
Hence 2 wins and 1 tie = 3 × 0.072 = 0.216
=> 1 win and 2 ties = 0.6 × 0.2 × 0.2 = 0.024
The one win can come out of 3 matches in 3C1 ways = 3 ways
2 wins and 1 tie = 3 × 0.024 = 0.072
Total probability = 0.216 + 0.216 + 0.216 + 0.072 = 0.72
@ani4588 said:The odds in favour of India winning a match against Pakistan are 3 : 2. What is the probability that India wins the series of 3 matches if the probability of a tie is 0.2?
18/25
cases are
WWW
WWL
WWT
WTT and their permutations
cases are
WWW
WWL
WWT
WTT and their permutations
A standard pack of playing cards has 52 cards, divided into 4 suits of 13 cards each having 13 different values from 1 to 13. Three cards are drawn from such a pack after sufficient shuffling. Find the probability that all three are of different suits and different values.