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- Question 1, Exercise 4.2
- ign*} Hence $a_1=4$, $a_2=7$, $a_3=10$, $a_4=13$. GOOD =====Question 1(ii)===== Find the first four t... gn*} Hence $a_1=7$, $a_2=12$, $a_3=17$, $a_4=22$. GOOD =====Question 1(iii)===== Find the first four... n*} Hence $a_1=16$, $a_2=14$, $a_3=12$, $a_4=10$. GOOD =====Question 1(iv)===== Find the first four ... n*} Hence $a_1=38$, $a_2=34$, $a_3=30$, $a_4=26$. GOOD =====Question 1(v)===== Find the first four
- Question 13, Exercise 4.2
- frac{24}{2} = 12. \end{align*} Hence A.M. = $12$. GOOD =====Question 13(ii)===== Find A.M. between $3... = \frac{10}{2}= 5. \end{align*} Hence A.M. = $5$. GOOD =====Question 13(iii)===== Find A.M. between $... \sqrt{5} \end{align*} Hence A.M. = $ 4 \sqrt{5}$. GOOD =====Question 13(iv)===== Find A.M. between $2... 4 \end{align*} Hence A.M. = $\dfrac{7y}{2} + 4$. GOOD ====Go to ==== <text align="left"><btn type="
- Question 1 and 2, Exercise 4.4
- nd{align*} Hence given sequence is not geometric. GOOD **Alternative Method** Given sequence is $5, ... t ratio.\\ Hence given sequence is not geometric. GOOD =====Question 2===== Determine whether each... t ratio.\\ Hence given sequence is not geometric. GOOD ====Go to ==== <text align="right"><btn type="success">[[math-11-nbf:sol:unit04
- Question 5, 6 and 7, Exercise 4.4
- n*} Hence $a_1=3$, $a_2=-6$, $a_3=12$, $a_4=-24$. GOOD =====Question 6===== Find the first four terms... gn*} Hence $a_1=27$, $a_2=-9$, $a_3=3$, $a_4=-1$. GOOD =====Question 7===== Find the first four terms... gn*} Hence $a_1=12$, $a_2=6$, $a_3=3$, $a_4=1.5$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-4-p2|< Questi
- Question 14, 15 and 16, Exercise 4.7
- s $\sum_{n=1}^{\infty} T_{n}= \dfrac{n(n+3)}{2}$. GOOD =====Question 15===== Find the sum to $n$ term... imits_{k=1}^{n} T_{k} = \dfrac{n}{6}(2n^2+9n+7)$. GOOD =====Question 16===== Find the sum to $\boldsy... }^{n} T_{k} = \frac{n}{2}\left(2n^2+5n+5\right).$ GOOD m( ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-7-p6|<
- Question 5 and 6, Exercise 4.1
- 3 = 3$, $a_4 = 8$, $a_{10} = 80$, $a_{15} = 195$. GOOD =====Question 6===== The $n$th term of the se... 0} = \frac{99}{101}$, $a_{15} = \frac{112}{113}$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-1-p2|< Quest
- Question 15 and 16, Exercise 4.1
- \ &= 528528 \end{align*} Hence $a_{22} = 528528$. GOOD =====Question 16===== Find the indicated term ... 400} \end{align*} Hence $a_{20}=\frac{441}{400}$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-1-p7|< Quest
- Question 17 and 18, Exercise 4.1
- \cdot 1 \\ &= 43 \end{align*} Hence $a_{43}= 43$. GOOD m( =====Question 18===== Find the indicated te... cdot 1 \\ &= 67 \end{align*} Hence $a_{67}= 67$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-1-p8|< Questio
- Question 19 and 20, Exercise 4.1
- d{align*} So, the general term is $a_n = 2n - 1$. GOOD =====Question 20===== Predict the general term... , we can predict the general term is $a_n = 3^n$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-1-p9|< Quest
- Question 21 and 22, Exercise 4.1
- end{align*} Thus, we can predict $a_n=\sqrt{2n}$. GOOD =====Question 22===== Predict the general ... {align*} Thus the general term is $a_n=1.1n+0.1$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-1-p10|< Que
- Question 3 and 4, Exercise 4.2
- (0.05)\\ &=0.57 \end{align*} Hence $a_{11}=0.57.$ GOOD =====Question 4===== The third term of an arit... terms are $19, \dfrac{33}{2}, 14, \dfrac{23}{2}$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-2-p2|< Question
- Question 5 and 6, Exercise 4.2
- erms are $8, 5, 2, -1, -4$ and $a_1 = 8$, $d=-3$. GOOD =====Question 6===== The fifth term of an arith... d{align*} Hence the $a_1 = 3$ and $a_{87} = 347$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-2-p3|< Question
- Question 7 and 8, Exercise 4.2
- \ \implies & n=20 \end{align*} Hence $a_{20}=70$. GOOD =====Question 8===== Which term of the sequenc... 6 \end{align*} Hence $a_{56} = -\dfrac{105}{2}$. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-2-p4|< Ques
- Question 9 and 10, Exercise 4.2
- ac}\\ &=\frac{a-c}{2ac} \end{align*} As required. GOOD =====Question 10===== During a free fall, a sky... diver will fall $240$ feet during the 8th second. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-2-p5|< Ques
- Question 11 and 12, Exercise 4.2
- total savings till August $20$ is Rs. $400,000.$ GOOD =====Question 12===== A gardener is making a tr... that is, $7$ plants will be there in the 8th row. GOOD ====Go to ==== <text align="left"><btn type="primary">[[math-11-nbf:sol:unit04:ex4-2-p6|< Questio