Math, asked by muskaan40, 1 year ago

the third and seventh tern of an ap are 18 and 30 respectively find the sum of their 17 terms

Answers

Answered by MrMaths1
5
The answer is 612..... Here is how it is done...
Attachments:

rajkumar77: linear in y
MrMaths1: Okh
MrMaths1: Sorry... My friend I can't solve.... I think it is out of my syllabus...... I m in standard 9......
MrMaths1: Which class does this question belongs to....????
khushbuwadhwanp01fdh: 10
rajkumar77: 12
rajkumar77: k bro
rajkumar77: u from
MrMaths1: Ohh I m in class 9 recently completed.... Now I m heading for 10......
rajkumar77: k bro
Answered by khushbuwadhwanp01fdh
7
a3=18
a7=30
s17=?
a3=a+2d=18   (1)
a7=a+6d=30   (2)
on substracting (1) from (2), we get ,
-4d=-12
d=3
putting the value of d in equation (1) we get,
a+2(3)=18
a+6=18
a=18-6
a=12
now a=12 and d=3
now,
 s17=n/2[2a+(n-1)d]
s17= 17/2[2(12)+(17-1)(3)]
s17=17/2[24+48]
s17=17/2(72)
s17=612
therefore, the sum of the 17th term of an a.p is 612



  

rajkumar77: a=12
khushbuwadhwanp01fdh: yeah..
MrMaths1: I think at last you typed it wrong....
khushbuwadhwanp01fdh: it is correct now
MrMaths1: Hmm....
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