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1, 3, 6, 10, 15, 21, 28, 36, 45, ... It is simply the number of dots in each triangular pattern: By adding another row of dots and counting all the dots we can find the next number of the sequence. The first triangle has just one dot. The second triangle has another row with 2 extra dots, making 1 + 2 = 3
17 Φεβ 2023 · Find n-th term of series 1, 3, 6, 10, 15, 21. Try It! The given series represent triangular numbers which are sums of natural numbers. Naive approach : The series basically represents sums of natural numbers. First term is sum of single number. Second term is sum of two numbers, and so on.
数列1，3，6，10，15，21.有通项公式和前n项和公式吗有。 1、通项公式为n(n+1)/2。 仔细观察数列1，3，6，10，15…可以发现：（1）1=1（2）3=1+2（3）6=1+2+3（4）10=1+2+3+4（5）15=1+2+3+4+5……（6）第n项为：1
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dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
In this case you get $3 - 1 = 2$, $6 - 3 = 3$, $10 - 6 = 4$, at this point you will probably guess that the next difference will be $5$ and indeed it is: $15 - 10 = 5$. You can now get your sequence back by adding the numbers $1$, $2$, etc.
8 Φεβ 2017 · Explanation: These are recognisable as triangular numbers, but let's use a general method for finding matching polynomial formulas... Write down the initial sequence: 1,3,6,10,15. Write down the sequence of differences between consecutive pairs of terms: 2,3,4,5.
