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neenuroy
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I need all formulas related to progressions...AP,GP,HP...all the formulas to find the sum of these progressions..Please i need it immediately
Progressions are sequences of numbers where there is a specific pattern or rule that determines the next term in the sequence. These patterns can involve arithmetic, geometric, or other types of sequences.
In arithmetic progressions, the difference between consecutive terms is constant. For example, in the sequence 2, 5, 8, 11, the difference between each term is 3. In geometric progressions, the ratio between consecutive terms is constant. For example, in the sequence 2, 6, 18, 54, the ratio between each term is 3.
The formula for finding the nth term in an arithmetic progression is:
an = a1 + (n-1)d
where a1 is the first term in the sequence and d is the common difference between consecutive terms.
The formula for finding the sum of an arithmetic progression is:
Sn = (n/2)(a1 + an)
where n is the number of terms in the sequence, a1 is the first term, and an is the nth term.
The formula for finding the sum of a geometric progression is:
Sn = (a1(1-rn))/(1-r)
where a1 is the first term and r is the common ratio between consecutive terms.