What is the nth expression for 3, 6, 10, 15, 21…?
3 = 1 + 26 = 1 + 2 + 310 = 1 + 2 + 3 + 415 = 1 + 2 + 3 + 4 + 521 = 1 + 2 + 3 + 4 + 5 + 6This tells us the n-th term is the sum of the first n + 1 natural numbers.Hence, T(n) = (n + 1)(n + 2)/2
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Which one of the numbers does not belong in the following series? 2 - 3 - 6 - 7 - 8 - 14 - 15 – 30
These type of question can be found on predominantly all IQ test, so that just makes this problem less confusing and more comprehensible. I was fascinated by this question because it requires much thought and consideration.The number that doesn't belong in the series is going to be 8.8 doesn't fit in the numerical pattern; therefore, fails to justify it's unnecessary existence in the series.The pattern is +1,×2, +1,×2, +1, and ×22+1=33×2=66+1=7To continue the pattern 7 has to be multiplied by 2, so 8 isn't going to be the logical next number.7×2=1414+1=1515×2=30The pattern would continue in from here, but I won't go to much farther because the numerical series could literally go on forever… infinity pattern of plus one and times two.Very intellectual question to ask, regardless of what anyone else says. I like these types of questions because they are critical thinking interrogatives that keep you engaged.
Problem Solving: If 3+2=7, 5+4=23, 7+6=47 and 9+8=79 to what is 10+9 equal?
it's quite easy... most people are forgetting the hidden steps....Question3 2 = 75 4 = 237 6 = 479 8 = 7910 9 = ?as you can see, first numbers are continuous odd numbers ( 3, 5, 7 & 9) & second numbers are continuous even numbers (2, 4, 6 & 8) except the last line (tats the hint). So there are some lines are hiding inside. Check below for the solution.2 x 1 + 0 = 23 x 2 + 1 = 74 x 3 + 2 = 145 x 4 + 3 = 236 x 5 + 4 = 347 x 6 + 5 = 478 x 7 + 6 = 629 x 8 + 7 = 7910 x 9 + 8 = 9811 x 10 + 9 = 119 thats it.... 98 is the winnerYou guys can check with any steps, you will get the same ans.
What is the answer to 7+7=2, 8+8=4, 8+5=1, 6+9=3, 10+11=9, 4+9=?
This series has a pattern in which the digits are added first, then 2 is subtracted from that sum and the last digit of the number obtained is written as the answer.7+7= 1414–2=12And the final answer is 2.8+8=1616–2=14And the answer is 4.8+5=1313–2= 11And the answer is 1.By following this pattern, the value of 4+9 can be given as:4+9=1313–2=11So the answer is 1.
What is the pattern rule of 2, 4, 6, 8, 10?
Given Series : 2, 4, 6, 8, 10.It's an Arithmetic Progression.Well, what is an Arithmetic Progression?Arithmetic Progressions(A.P.) are series (or progressions) of numbers which follow a specific rule where you obtain subsequent numbers in the series by adding a definite number to any number in the series(except the first one - the first one has to be chosen by the person giving the series).An A.P. can be a finite one (can end at some specific number) or it can be infinite i.e. it can carry on endlessly till infinity.The first number of the series is known as the first term(denoted by a). Here, 2 is the first term of this Arithmetic Progression.The number that you add to obtain subsequent numbers is known as the common difference (denoted by d). The common difference of an Arithmetic Progression can be easily obtained by subtracting any number in the series from the number that comes after it.Here, the common difference is 2 [= 4–2(2nd term - 1st term)] . You can add 2 to any term of this series starting right from the first term and obtain the next term!So the above number series is an Arithmetic Progression with the first term 2 and a common difference of 2.Or simply put, a number pattern which is an Arithmetic Progression where subsequent numbers are obtained by adding 2 . The series starts at 2 itself.You can obtain any term(nth term) of the series by this formula : a + (n - 1)d;Where a is the first term.n is the term number you want to find(like the 2nd, 4th, 100th term)d is the common difference.My answer holds more information than you asked for but I found it appropriate to add all that info! :)I hope I helped!Namaste! :)