Write the first five terms in the following sequences: a_1=1, a_n… - Vidyadip

Question

Write the first five terms in the following sequences:$\text{a}_1=1,\text{a}_\text{n}=\text{a}_{\text{n}-1}+2,\text{n}>1$

✓

Answer

$\text{a}_1=1,\text{a}_\text{n}=\text{a}_{\text{n}-1}+2,\text{n}\geq2$ $\text{a}_2=\text{a}_{\text{2}-1}+2=\text{a}_{1+2}=3$ $[\because\text{a}_1=1]$ $\text{a}_3=\text{a}_{\text{3}-1}+2=\text{a}_{2}+2=5$ $[\because\text{a}_2=3]$ $\text{a}_4=\text{a}_{\text{4}-1}+2=\text{a}_{3}+2=7$ $[\because\text{a}_3=5]$ $\text{a}_5=\text{a}_{\text{5}-1}+2=\text{a}_{4}+2=9$ $[\because\text{a}_4=7]$ $\therefore$ The first 5 terms os series are 1, 3, 5, 7, 11.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from Arithmetic Progressions→Arithmetic Progressions — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Show that the set of letters needed to spell CATARACT and the set of letters needed to spell TRACT are equal.

Write the contrapositive and converse of the following statements. You cannot comprehend geometry if you do not know how to reason deductively.

Which term of the progression 0.004, 0.02, 0.1, ... is 12.5₹

In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the students knows either Hindi or English. How many students are there in the group?

Differentiate the following function with respect to x:$\text{x}^2\sin\text{x}\log\text{x}$

Evaluate the following limit: $\lim\limits_{\text{x}\rightarrow3}\Big(\frac{1}{\text{x}-3}-\frac{3}{\text{x}^2-3\text{x}}\Big)$

Let R be a relation on N × N defined by:
$(\text{a, b})\text{ R }(\text{c, d})\Leftrightarrow\text{a}+\text{d}=\text{b}+\text{c}$ for all $(\text{a, b}),(\text{c, d})\in\text{N}\times\text{N}$
Show that:
$(\text{a},\text{b})\text{ R }(\text{c, d})\Rightarrow(\text{c},\text{d})\text{ R (a, b)}$ for all $\text{(a, b)(c, d)}\in\text{N}\times\text{N}$

Find the equation of ellipse having Length of major axis 26, foci ($\pm$5, 0)

Find the domain and range of the following real valued functions: $\text{f(x)}=\frac{\text{ax}-\text{b}}{\text{cx}-\text{d}}$

Let A, B and C be the sets such that $A \cup B = A \cup C$ and $A \cap B = A \cap C$ Show that B = C.