Question

Find the 25th term of an AP 2,6,10,14,....​

Answer 1

Answer:

${ \large{ \pmb{ \sf{★Given... }}}}$

2 , 6 , 10 , 14.... are in AP

${ \large{ \pmb{ \sf{★To \: Find... }}}}$

25th term of the AP

${ \large{ \pmb{ \sf{★Used \: Formula... }}}}$

$\boxed{ \sf{ a_{n} = a + (n - 1)d}}$

${ \large{ \pmb{ \sf{★Solution... }}}}$

From AP,

• First term (a) = 2

• Common Difference (d) = 4

• n = 25

Substitute this in formula,

${ \implies{ \sf{ a_{25} = 2 + (25 - 1)4 }}}$

$\: { \implies{ \sf{ a_{25} = 2 + 24(4) }}}$

$\: { \implies{ \sf{ a_{25} = 2 + 96}}}$

$\: { \implies{ \sf{ a_{25} = 98 }}}$

${ \large{ \pmb{ \sf{★Final \: Answer... }}}}$

25th term of the AP is 98