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Find the sum of first 12 term of the Ap 5,8,11,14. .?
Most Upvoted Answer
Find the sum of first 12 term of the Ap 5,8,11,14. .?
A=5,
a2=8,
d=a2-a1=8-5=3,
n=12,
a12=a+11d=5+11(3)=5+33=38,
s12=n/2(a+l),
=12/2(5+38),
=6(43)=258
a2=8,
d=a2-a1=8-5=3,
n=12,
a12=a+11d=5+11(3)=5+33=38,
s12=n/2(a+l),
=12/2(5+38),
=6(43)=258
Community Answer
Find the sum of first 12 term of the Ap 5,8,11,14. .?
Sum of First 12 Terms of an AP
An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. To find the sum of the first 12 terms of the AP 5, 8, 11, 14, we can use the formula:
Sum of first n terms of an AP = n/2[2a + (n-1)d]
Where:
- n is the number of terms we want to add
- a is the first term of the AP
- d is the common difference between the terms
Identifying the Values
In this problem, we have:
- n = 12 (since we want to add the first 12 terms)
- a = 5 (since 5 is the first term of the AP)
- d = 3 (since the difference between any two consecutive terms is 3)
Applying the Formula
Substituting the values we have into the formula, we get:
Sum of first 12 terms of 5, 8, 11, 14 = 12/2[2(5) + (12-1)(3)]
= 6[10 + 33]
= 6 x 43
= 258
Answer
Therefore, the sum of the first 12 terms of the AP 5, 8, 11, 14 is 258.
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Find the sum of first 12 term of the Ap 5,8,11,14. .?
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Find the sum of first 12 term of the Ap 5,8,11,14. .? 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 Find the sum of first 12 term of the Ap 5,8,11,14. .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of first 12 term of the Ap 5,8,11,14. .?.
Find the sum of first 12 term of the Ap 5,8,11,14. .? 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 Find the sum of first 12 term of the Ap 5,8,11,14. .? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of first 12 term of the Ap 5,8,11,14. .?.
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