For a given arithmetic sequence, the  75th  term,  a75 , is equal to  209 , and the  8th  term,  a8 , is equal to  8 . Find the value of the  42nd  term,  a42 .

Q: Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is…

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Q: 9) -22, -8, .. ***. А) —15 С) -14 В) —17 D) -18

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Q: Write the general formula of a sequence if the 5th term is -32 and the 20th term is 103. (Note: do…

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Q: Write t15 for the sequence − 3,−6,−12,−24,...

A: Given sequence is -3,-6,-12,-24...   The general term of a geometric sequence with first term a1a1…

Q: Calculate the next term in the arithmetic sequence that increases by 65, if the current term is 41.

A: Given, the arithmetic sequence that increases by  65, if the current term is 41.

Q: Find the 13th term of the arithmetic sequence 3x-11, -6, -3x-1, -6x + 4.

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Q: Calculate the next term in the arithmetic sequence that increases by 90, if the current term is 78.

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Q: Find the 35th term in the arithmetic sequence: 3, 9, 15, 21, ?

A: Formula Used: nth term of the arithmetic series Tn =a+(n-1)d where a is the first term d is the…

Q: Find the sum of the terms of an arithmetic sequence: 3+ 15+ 27+ 39... +615

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Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

Q: The numbers of seats in an arena form an arithmetic sequence. If there are 23 seats in the second…

A: Given that, the number of seats in an arena form an arithmetic sequence.      Let, a be number of…

Q: Find the 35th term of an arithmetic sequence with a1= 50 and a22 = −265.

A: Given,

Q: Given a1 = 5 and a6 = 40 (the first and sixth numbers in an arithmetic sequence), find a20.

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Q: Find the one hundredth term aj00 of an arithmetic sequence if a10=98 and a20 = 188.

A: Given : a10 = 98a20 = 188

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.