Sr. no. a d n an (i)7 3 8 ---- (ii)-18 ---- 10 0 (iii) ---- -3 18 -5 (iv) -18.9 2.5 ---- 3.6 (v) 3.5 0 105 ---- Fill in the blanks in the following table, given that a is the first term, d the common difference and an is the nth term of the AP:

Question

Sr. no. a d n an​ (i)7 3 8 ----  (ii)-18 ---- 10 0 (iii) ---- -3 18 -5 (iv) -18.9 2.5 ---- 3.6 (v) 3.5 0 105 ---- Fill in the blanks in the following table, given that a is the first term, d the common difference and an​ is the nth term of the AP:

Filo · Accepted Answer

(i) a=7,d=3,n=8,an​=?We know that,For an A.P. an​=a+(n−1)d=7+(8−1)3=7+(7)3=7+21=28Hence, an​=28(ii) Given thata=−18,n=10,an​=0,d=?We know that,an​=a+(n−1)d0=−18+(10−1)d18=9dd= 918​=2Hence, common difference, d=2(iii) Given thatd=−3,n=18,an=−5We know that,an​=a+(n−1)d−5=a+(18−1)(−3)−5=a+(17)(−3)−5=a−51a=51−5=46Hence, a=46(iv) a=−18.9,d=2.5,an​=3.6,n=?We know that,an​=a+(n−1)d3.6=−18.9+(n−1)2.53.6+18.9=(n−1)2.522.5=(n−1)2.5(n−1)=2.522.5​=9n−1=9n=10Hence, n=10(v) a=3.5,d=0,n=105,an​=?We know that,an​=a+(n−1)dan​=3.5+(105−1)0an​=3.5+104×0an​=3.5

Question Text	Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_{n}$ is the $n^{t h}$ term of the AP:
Answer Type	Text solution:1
Upvotes	150

Sr. no. $a$ $d$ $n$ $a_{n}$
(i) 7 3 8 ----
(ii) -18 ---- 10 0
(iii) ---- -3 18 -5
(iv) -18.9 2.5 ---- 3.6
(v) 3.5 0 105 ----
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_{n}$ is the $n^{t h}$ term of the AP:

Text solutionVerified

Practice questions from similar books

Sr. no.	$a$	$d$	$n$	$a_{n}$
(i)	7	3	8	----
(ii)	-18	----	10	0
(iii)	----	-3	18	-5
(iv)	-18.9	2.5	----	3.6
(v)	3.5	0	105	----

Sr. no. a d n an​ (i)7 3 8 ---- (ii)-18 ---- 10 0 (iii) ---- -3 18 -5 (iv) -18.9 2.5 ---- 3.6 (v) 3.5 0 105 ---- Fill in the blanks in the following table, given that a is the first term, d the common difference and an​ is the nth term of the AP:

Text solutionVerified

Practice questions from similar books

Sr. no. $a$ $d$ $n$ $a_{n}$
(i) 7 3 8 ----
(ii) -18 ---- 10 0
(iii) ---- -3 18 -5
(iv) -18.9 2.5 ---- 3.6
(v) 3.5 0 105 ----
Fill in the blanks in the following table, given that $a$ is the first term, $d$ the common difference and $a_{n}$ is the $n^{t h}$ term of the AP: