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The sum of first 15 terms is 750 and its first term is 15 find its 20 term?
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The sum of first 15 terms is 750 and its first term is 15 find its 20 ...
Sum of first 15 terms and First term given
Given:
- Sum of first 15 terms = 750
- First term = 15
Finding the common difference
To find the common difference, we use the formula for the sum of an arithmetic series:
S = n/2[2a + (n-1)d]
where:
- S = sum of the first n terms
- a = first term
- d = common difference
Plugging in the given values:
750 = 15/2[2(15) + (15-1)d]
750 = 7.5[30 + 14d]
100 = 30 + 14d
70 = 14d
d = 5
Finding the 20th term
To find the 20th term, we use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d
where:
- a_n = nth term
- a_1 = first term
- d = common difference
Plugging in the given values:
a_20 = 15 + (20-1)5
a_20 = 15 + 95
a_20 = 110
Therefore, the 20th term of the arithmetic sequence is 110.
Given:
- Sum of first 15 terms = 750
- First term = 15
Finding the common difference
To find the common difference, we use the formula for the sum of an arithmetic series:
S = n/2[2a + (n-1)d]
where:
- S = sum of the first n terms
- a = first term
- d = common difference
Plugging in the given values:
750 = 15/2[2(15) + (15-1)d]
750 = 7.5[30 + 14d]
100 = 30 + 14d
70 = 14d
d = 5
Finding the 20th term
To find the 20th term, we use the formula for the nth term of an arithmetic sequence:
a_n = a_1 + (n-1)d
where:
- a_n = nth term
- a_1 = first term
- d = common difference
Plugging in the given values:
a_20 = 15 + (20-1)5
a_20 = 15 + 95
a_20 = 110
Therefore, the 20th term of the arithmetic sequence is 110.
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The sum of first 15 terms is 750 and its first term is 15 find its 20 term?
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The sum of first 15 terms is 750 and its first term is 15 find its 20 term? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of first 15 terms is 750 and its first term is 15 find its 20 term? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of first 15 terms is 750 and its first term is 15 find its 20 term?.
The sum of first 15 terms is 750 and its first term is 15 find its 20 term? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The sum of first 15 terms is 750 and its first term is 15 find its 20 term? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of first 15 terms is 750 and its first term is 15 find its 20 term?.
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