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# arithmetic sequence

0
32
1

If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?​

Aug 23, 2020

#1
0

5/2 * [2*4 + 4D]=1/4* 5/2 *[8+5D + 9D], solve for D

D = -12 common difference

15th term =[4 + (-12*14)] = - 164

4,  -8,  -20 , -32 , -44 , -56 , -68 , -80 , -92 , -104 , -116 , -128 , -140 , -152 , -164

Aug 23, 2020
The text passage contains a mathematical question about an arithmetic sequence and provides a detailed solution, including the calculation of the common difference and the 15th term of the sequence.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

# arithmetic sequence

0
32
1

If the first term of AP is 4 and the sum of first five term is equal to one-fourth of the sum of the next five term, then find the 15th term?​

Aug 23, 2020

#1
0

5/2 * [2*4 + 4D]=1/4* 5/2 *[8+5D + 9D], solve for D

D = -12 common difference

15th term =[4 + (-12*14)] = - 164

4,  -8,  -20 , -32 , -44 , -56 , -68 , -80 , -92 , -104 , -116 , -128 , -140 , -152 , -164

Aug 23, 2020
user
The text passage contains a mathematical question about an arithmetic sequence and provides a detailed solution, including the calculation of the common difference and the 15th term of the sequence.

TYPE: SINGLE_QUESTION_WITH_ANSWER