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Find the common difference and first term of an arithmetic series if the sum of the first 6 terms and 9 terms are 183 and 369 respectively.
If the sum of the first 10 terms of an arithmetic series is 27.5 and the 10th term of the series is 5, determine the value of its first term and common difference.
Find the sum of the series $\rm 5 + 11 + 17 + \dots $ to 20 terms.
Find the sum of the series $\rm 12+9+6+\dots$ to $32$ terms
Find the sum of the series : $\rm - 3 + 1 + 5 + \dots $ to $\rm 50$ terms.
Find the sum of the series: $\rm 1+\frac{1}{4}-\frac{2}{4}-\frac{5}{4} - \dots $to $10$ terms.
Calculate the sum of the series of natural numbers: $\rm 1 + 2 + 3 + 4 + \dots $ to $20$ terms.
Calculate the sum of the series of natural numbers: $\rm 1 + 2 + 3 + 4 + \dots $ to $15$ terms.
Calculate the sum of the series of natural numbers: $\rm 1 + 3 + 5 + 7 + \dots $ to $20$ terms.
Calculate the sum of the series of natural numbers: $\rm 1 + 3 + 5 + 7 + \dots $ to $30$ terms.